101252160 has 112 divisors (see below), whose sum is σ = 357225600. Its totient is φ = 26998272.

The previous prime is 101252117. The next prime is 101252183. The reversal of 101252160 is 61252101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2781 + ... + 14499.

Almost surely, 2^101252160 is an apocalyptic number.

101252160 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 101252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178612800).

101252160 is an abundant number, since it is smaller than the sum of its proper divisors (255973440).

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

101252160 is a wasteful number, since it uses less digits than its factorization.

101252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11745 (or 11729 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101252160 is about 10062.4132294395. The cubic root of 101252160 is about 466.0881902508.

The spelling of 101252160 in words is "one hundred one million, two hundred fifty-two thousand, one hundred sixty".