10104960 has 128 divisors (see below), whose sum is σ = 34027200. Its totient is φ = 2543616.

The previous prime is 10104929. The next prime is 10104961. The reversal of 10104960 is 6940101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10104960² = 204220433203200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36342 + ... + 36618.

Almost surely, 2^10104960 is an apocalyptic number.

10104960 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 10104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17013600).

10104960 is an abundant number, since it is smaller than the sum of its proper divisors (23922240).

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

10104960 is a wasteful number, since it uses less digits than its factorization.

10104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10104960 is about 3178.8299734336. The cubic root of 10104960 is about 216.1946119855.

The spelling of 10104960 in words is "ten million, one hundred four thousand, nine hundred sixty".