157201100 has 72 divisors (see below), whose sum is σ = 395474688. Its totient is φ = 53121600.

The previous prime is 157201097. The next prime is 157201129. The reversal of 157201100 is 1102751.

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, 48119 + ... + 51281.

It is an arithmetic number, because the mean of its divisors is an integer number (5492704).

Almost surely, 2^157201100 is an apocalyptic number.

157201100 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 157201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197737344).

157201100 is an abundant number, since it is smaller than the sum of its proper divisors (238273588).

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

157201100 is a wasteful number, since it uses less digits than its factorization.

157201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 157201100 is about 12537.9862816961. The cubic root of 157201100 is about 539.6993067588.

Adding to 157201100 its reverse (1102751), we get a palindrome (158303851).

The spelling of 157201100 in words is "one hundred fifty-seven million, two hundred one thousand, one hundred".