100513525152 has 96 divisors (see below), whose sum is σ = 266548689792. Its totient is φ = 33163213824.

The previous prime is 100513525121. The next prime is 100513525159. The reversal of 100513525152 is 251525315001.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (100513525159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3951258 + ... + 3976614.

It is an arithmetic number, because the mean of its divisors is an integer number (2776548852).

Almost surely, 2^100513525152 is an apocalyptic number.

100513525152 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 100513525152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133274344896).

100513525152 is an abundant number, since it is smaller than the sum of its proper divisors (166035164640).

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

100513525152 is a wasteful number, since it uses less digits than its factorization.

100513525152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25790 (or 25782 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 30.

The spelling of 100513525152 in words is "one hundred billion, five hundred thirteen million, five hundred twenty-five thousand, one hundred fifty-two".