10112960 has 168 divisors, whose sum is σ = 30120336. Its totient is φ = 3194880.

The previous prime is 10112897. The next prime is 10112989. The reversal of 10112960 is 6921101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594872 + ... + 594888.

Almost surely, 2^10112960 is an apocalyptic number.

10112960 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 10112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15060168).

10112960 is an abundant number, since it is smaller than the sum of its proper divisors (20007376).

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

10112960 is a wasteful number, since it uses less digits than its factorization.

10112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 10112960 is about 3180.0880490955. The cubic root of 10112960 is about 216.2516500036.

The spelling of 10112960 in words is "ten million, one hundred twelve thousand, nine hundred sixty".