100157140 has 24 divisors (see below), whose sum is σ = 210679560. Its totient is φ = 39996288.

The previous prime is 100157131. The next prime is 100157171. The reversal of 100157140 is 41751001.

It can be written as a sum of positive squares in 4 ways, for example, as 19660356 + 80496784 = 4434^2 + 8972^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9226 + ... + 16894.

It is an arithmetic number, because the mean of its divisors is an integer number (8778315).

Almost surely, 2^100157140 is an apocalyptic number.

100157140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100157140 is an abundant number, since it is smaller than the sum of its proper divisors (110522420).

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

100157140 is a wasteful number, since it uses less digits than its factorization.

100157140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8331 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 100157140 is about 10007.8539158003. The cubic root of 100157140 is about 464.4018825458.

The spelling of 100157140 in words is "one hundred million, one hundred fifty-seven thousand, one hundred forty".