100523985120 has 576 divisors, whose sum is σ = 383843759040. Its totient is φ = 24558723072.

The previous prime is 100523985113. The next prime is 100523985203. The reversal of 100523985120 is 21589325001.

100523985120 is a `hidden beast` number, since 1 + 0 + 0 + 52 + 3 + 98 + 512 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114622122 + ... + 114622998.

It is an arithmetic number, because the mean of its divisors is an integer number (666395415).

Almost surely, 2^100523985120 is an apocalyptic number.

100523985120 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 100523985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191921879520).

100523985120 is an abundant number, since it is smaller than the sum of its proper divisors (283319773920).

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

100523985120 is a wasteful number, since it uses less digits than its factorization.

100523985120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 100523985120 in words is "one hundred billion, five hundred twenty-three million, nine hundred eighty-five thousand, one hundred twenty".