100153416623040 has 336 divisors, whose sum is σ = 385959774301920. Its totient is φ = 23623410032640.

The previous prime is 100153416623033. The next prime is 100153416623053. The reversal of 100153416623040 is 40326614351001.

100153416623040 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 5 + 3 + 416 + 6 + 230 + 4 + 0 = 666.

It is a super-2 number, since 2×100153416623040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100153416622986 and 100153416623004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41549575 + ... + 43893894.

It is an arithmetic number, because the mean of its divisors is an integer number (1148689804470).

Almost surely, 2^{100153416623040} is an apocalyptic number.

100153416623040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100153416623040 is an abundant number, since it is smaller than the sum of its proper divisors (285806357678880).

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

100153416623040 is a wasteful number, since it uses less digits than its factorization.

100153416623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85443540 (or 85443527 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 100153416623040 in words is "one hundred trillion, one hundred fifty-three billion, four hundred sixteen million, six hundred twenty-three thousand, forty".