100553515440 has 120 divisors (see below), whose sum is σ = 362608331760. Its totient is φ = 22983657984.

The previous prime is 100553515399. The next prime is 100553515451. The reversal of 100553515440 is 44515355001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×100553515440² (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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4263475 + ... + 4286994.

It is an arithmetic number, because the mean of its divisors is an integer number (3021736098).

Almost surely, 2^100553515440 is an apocalyptic number.

100553515440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100553515440 is an abundant number, since it is smaller than the sum of its proper divisors (262054816320).

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

100553515440 is a wasteful number, since it uses less digits than its factorization.

100553515440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8550499 (or 8550486 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The spelling of 100553515440 in words is "one hundred billion, five hundred fifty-three million, five hundred fifteen thousand, four hundred forty".