157268100 has 72 divisors (see below), whose sum is σ = 496405728. Its totient is φ = 38124800.

The previous prime is 157268081. The next prime is 157268117. The reversal of 157268100 is 1862751.

157268100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×157268100² = 49466510555220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20529 + ... + 27128.

It is an arithmetic number, because the mean of its divisors is an integer number (6894524).

Almost surely, 2^157268100 is an apocalyptic number.

157268100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157268100 is an abundant number, since it is smaller than the sum of its proper divisors (339137628).

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

157268100 is a wasteful number, since it uses less digits than its factorization.

157268100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47685 (or 47678 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 157268100 is about 12540.6578774800. The cubic root of 157268100 is about 539.7759701697.

The spelling of 157268100 in words is "one hundred fifty-seven million, two hundred sixty-eight thousand, one hundred".