100157250690 has 96 divisors (see below), whose sum is σ = 297677278080. Its totient is φ = 22887919872.

The previous prime is 100157250673. The next prime is 100157250707. The reversal of 100157250690 is 96052751001.

100157250690 is a `hidden beast` number, since 10 + 0 + 1 + 57 + 2 + 506 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (100157250673) and next prime (100157250707).

It is a super-2 number, since 2×100157250690² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3247422 + ... + 3278118.

It is an arithmetic number, because the mean of its divisors is an integer number (3100804980).

Almost surely, 2^100157250690 is an apocalyptic number.

100157250690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100157250690 is an abundant number, since it is smaller than the sum of its proper divisors (197520027390).

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

100157250690 is a wasteful number, since it uses less digits than its factorization.

100157250690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35896 (or 35893 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 100157250690 in words is "one hundred billion, one hundred fifty-seven million, two hundred fifty thousand, six hundred ninety".