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106903863024 = 2437794027421
BaseRepresentation
bin110001110001111110…
…1110111111011110000
3101012221022110220220020
41203203331313323300
53222414342104044
6121035544443440
710503114562020
oct1434375677360
9335838426806
10106903863024
1141379497622
1218875a79580
13a108c252aa
145261d13a80
152baa3b3a19
hex18e3f77ef0

106903863024 has 80 divisors (see below), whose sum is σ = 319616209920. Its totient is φ = 30157320960.

The previous prime is 106903863023. The next prime is 106903863043. The reversal of 106903863024 is 420368309601.

It is a super-2 number, since 2×1069038630242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106903863023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1987167 + ... + 2040254.

It is an arithmetic number, because the mean of its divisors is an integer number (3995202624).

Almost surely, 2106903863024 is an apocalyptic number.

106903863024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106903863024 is an abundant number, since it is smaller than the sum of its proper divisors (212712346896).

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

106903863024 is a wasteful number, since it uses less digits than its factorization.

106903863024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027518 (or 4027512 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 106903863024 in words is "one hundred six billion, nine hundred three million, eight hundred sixty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 948 1106 1264 1659 1896 2212 3318 3792 4424 6636 8848 13272 26544 4027421 8054842 12082263 16109684 24164526 28191947 32219368 48329052 56383894 64438736 84575841 96658104 112767788 169151682 193316208 225535576 318166259 338303364 451071152 636332518 676606728 954498777 1272665036 1353213456 1908997554 2227163813 2545330072 3817995108 4454327626 5090660144 6681491439 7635990216 8908655252 13362982878 15271980432 17817310504 26725965756 35634621008 53451931512 106903863024