101157200 has 30 divisors (see below), whose sum is σ = 243031134. Its totient is φ = 40462720.

The previous prime is 101157193. The next prime is 101157239. The reversal of 101157200 is 2751101.

It can be written as a sum of positive squares in 3 ways, for example, as 2274064 + 98883136 = 1508^2 + 9944^2 .

It is a super-2 number, since 2×101157200² = 20465558223680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126047 + ... + 126846.

Almost surely, 2^101157200 is an apocalyptic number.

101157200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101157200 is an abundant number, since it is smaller than the sum of its proper divisors (141873934).

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

101157200 is a wasteful number, since it uses less digits than its factorization.

101157200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252911 (or 252900 counting only the distinct ones).

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

The square root of 101157200 is about 10057.6935725841. The cubic root of 101157200 is about 465.9424367243.

The spelling of 101157200 in words is "one hundred one million, one hundred fifty-seven thousand, two hundred".