101290560 has 112 divisors (see below), whose sum is σ = 367564416. Its totient is φ = 23150592.

The previous prime is 101290559. The next prime is 101290583. The reversal of 101290560 is 65092101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×101290560² = 20519555090227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101290560.

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, 817 + ... + 14256.

Almost surely, 2^101290560 is an apocalyptic number.

101290560 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 101290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183782208).

101290560 is an abundant number, since it is smaller than the sum of its proper divisors (266273856).

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

101290560 is a wasteful number, since it uses less digits than its factorization.

101290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15100 (or 15090 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 101290560 is about 10064.3211395503. The cubic root of 101290560 is about 466.1471043007.

The spelling of 101290560 in words is "one hundred one million, two hundred ninety thousand, five hundred sixty".