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100663136 = 2571034363
BaseRepresentation
bin1011111111111…
…11111101100000
321000102012212022
411333333331200
5201232210021
613553321012
72331423350
oct577777540
9230365768
10100663136
1151904782
1229866168
1317b165b2
14d524b60
158c861ab
hex5ffff60

100663136 has 48 divisors (see below), whose sum is σ = 228743424. Its totient is φ = 42712704.

The previous prime is 100663127. The next prime is 100663141. The reversal of 100663136 is 631366001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20891 + ... + 25253.

It is an arithmetic number, because the mean of its divisors is an integer number (4765488).

Almost surely, 2100663136 is an apocalyptic number.

100663136 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 100663136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114371712).

100663136 is an abundant number, since it is smaller than the sum of its proper divisors (128080288).

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

100663136 is a wasteful number, since it uses less digits than its factorization.

100663136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4483 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 100663136 is about 10033.1020128373. The cubic root of 100663136 is about 465.1826253021.

The spelling of 100663136 in words is "one hundred million, six hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 103 112 206 224 412 721 824 1442 1648 2884 3296 4363 5768 8726 11536 17452 23072 30541 34904 61082 69808 122164 139616 244328 449389 488656 898778 977312 1797556 3145723 3595112 6291446 7190224 12582892 14380448 25165784 50331568 100663136