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100425696 = 2537237577
BaseRepresentation
bin1011111110001…
…01111111100000
320222222011011020
411333011333200
5201202110241
613544245440
72326414200
oct577057740
9228864136
10100425696
1151762348
1229770880
1317a624b7
14d4a2400
158c3ab66
hex5fc5fe0

100425696 has 144 divisors (see below), whose sum is σ = 315490896. Its totient is φ = 27869184.

The previous prime is 100425691. The next prime is 100425701. The reversal of 100425696 is 696524001.

It is an interprime number because it is at equal distance from previous prime (100425691) and next prime (100425701).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100425691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173760 + ... + 174336.

It is an arithmetic number, because the mean of its divisors is an integer number (2190909).

Almost surely, 2100425696 is an apocalyptic number.

100425696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100425696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157745448).

100425696 is an abundant number, since it is smaller than the sum of its proper divisors (215065200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100425696 is a wasteful number, since it uses less digits than its factorization.

100425696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 100425696 is about 10021.2621959512. The cubic root of 100425696 is about 464.8165862374.

Adding to 100425696 its reverse (696524001), we get a palindrome (796949697).

The spelling of 100425696 in words is "one hundred million, four hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 49 56 74 84 96 98 111 112 147 148 168 196 222 224 259 294 296 336 392 444 518 577 588 592 672 777 784 888 1036 1154 1176 1184 1554 1568 1731 1776 1813 2072 2308 2352 3108 3462 3552 3626 4039 4144 4616 4704 5439 6216 6924 7252 8078 8288 9232 10878 12117 12432 13848 14504 16156 18464 21349 21756 24234 24864 27696 28273 29008 32312 42698 43512 48468 55392 56546 58016 64047 64624 84819 85396 87024 96936 113092 128094 129248 149443 169638 170792 174048 193872 226184 256188 298886 339276 341584 387744 448329 452368 512376 597772 678552 683168 896658 904736 1024752 1046101 1195544 1357104 1793316 2049504 2092202 2391088 2714208 3138303 3586632 4184404 4782176 6276606 7173264 8368808 12553212 14346528 16737616 25106424 33475232 50212848 100425696