105157638432 has 864 divisors, whose sum is σ = 394186770432. Its totient is φ = 26002944000.

The previous prime is 105157638407. The next prime is 105157638479. The reversal of 105157638432 is 234836751501.

It is a happy number.

105157638432 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 5 + 7 + 638 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×105157638432² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 550563457 + ... + 550563647.

It is an arithmetic number, because the mean of its divisors is an integer number (456234688).

Almost surely, 2^105157638432 is an apocalyptic number.

105157638432 is a gapful number since it is divisible by the number (12) 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 105157638432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197093385216).

105157638432 is an abundant number, since it is smaller than the sum of its proper divisors (289029132000).

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

105157638432 is a wasteful number, since it uses less digits than its factorization.

105157638432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 105157638432 in words is "one hundred five billion, one hundred fifty-seven million, six hundred thirty-eight thousand, four hundred thirty-two".