100537557120 has 2304 divisors, whose sum is σ = 493689530880. Its totient is φ = 18517524480.

The previous prime is 100537557119. The next prime is 100537557137. The reversal of 100537557120 is 21755735001.

It is a happy number.

100537557120 is a `hidden beast` number, since 1 + 0 + 0 + 537 + 55 + 71 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1896935014 + ... + 1896935066.

It is an arithmetic number, because the mean of its divisors is an integer number (214274970).

Almost surely, 2^100537557120 is an apocalyptic number.

100537557120 is a gapful number since it is divisible by the number (10) 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 100537557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246844765440).

100537557120 is an abundant number, since it is smaller than the sum of its proper divisors (393151973760).

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

100537557120 is a wasteful number, since it uses less digits than its factorization.

100537557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The spelling of 100537557120 in words is "one hundred billion, five hundred thirty-seven million, five hundred fifty-seven thousand, one hundred twenty".