100157512 has 96 divisors (see below), whose sum is σ = 245073600. Its totient is φ = 37469952.

The previous prime is 100157507. The next prime is 100157513. The reversal of 100157512 is 215751001.

It is not an unprimeable number, because it can be changed into a prime (100157513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179538 + ... + 180094.

It is an arithmetic number, because the mean of its divisors is an integer number (2552850).

Almost surely, 2^100157512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100157512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122536800).

100157512 is an abundant number, since it is smaller than the sum of its proper divisors (144916088).

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

100157512 is a wasteful number, since it uses less digits than its factorization.

100157512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 22.

The square root of 100157512 is about 10007.8725011863. The cubic root of 100157512 is about 464.4024575000.

The spelling of 100157512 in words is "one hundred million, one hundred fifty-seven thousand, five hundred twelve".