101072560 has 40 divisors (see below), whose sum is σ = 240002496. Its totient is φ = 39567360.

The previous prime is 101072549. The next prime is 101072563. The reversal of 101072560 is 65270101.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (101072563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9681 + ... + 17200.

Almost surely, 2^101072560 is an apocalyptic number.

101072560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101072560 is an abundant number, since it is smaller than the sum of its proper divisors (138929936).

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

101072560 is a wasteful number, since it uses less digits than its factorization.

101072560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26941 (or 26935 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 101072560 is about 10053.4849679104. The cubic root of 101072560 is about 465.8124463981.

The spelling of 101072560 in words is "one hundred one million, seventy-two thousand, five hundred sixty".