10915200 has 144 divisors (see below), whose sum is σ = 39050700. Its totient is φ = 2903040.

The previous prime is 10915199. The next prime is 10915217. The reversal of 10915200 is 251901.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28611 + ... + 28989.

Almost surely, 2^10915200 is an apocalyptic number.

10915200 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 10915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19525350).

10915200 is an abundant number, since it is smaller than the sum of its proper divisors (28135500).

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

10915200 is a wasteful number, since it uses less digits than its factorization.

10915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 10915200 is about 3303.8159755047. The cubic root of 10915200 is about 221.8250386746.

The spelling of 10915200 in words is "ten million, nine hundred fifteen thousand, two hundred".