157824100 has 108 divisors (see below), whose sum is σ = 411640320. Its totient is φ = 52315200.

The previous prime is 157824097. The next prime is 157824113. The reversal of 157824100 is 1428751.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 151381 + ... + 152419.

Almost surely, 2^157824100 is an apocalyptic number.

157824100 is a gapful number since it is divisible by the number (10) 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 157824100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205820160).

157824100 is an abundant number, since it is smaller than the sum of its proper divisors (253816220).

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

157824100 is a wasteful number, since it uses less digits than its factorization.

157824100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 157824100 is about 12562.8062151734. The cubic root of 157824100 is about 540.4113235567.

The spelling of 157824100 in words is "one hundred fifty-seven million, eight hundred twenty-four thousand, one hundred".