10089600 has 96 divisors (see below), whose sum is σ = 33264240. Its totient is φ = 2688000.

The previous prime is 10089581. The next prime is 10089623. The reversal of 10089600 is 698001.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9075 + ... + 10125.

Almost surely, 2^10089600 is an apocalyptic number.

10089600 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 10089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632120).

10089600 is an abundant number, since it is smaller than the sum of its proper divisors (23174640).

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

10089600 is a wasteful number, since it uses less digits than its factorization.

10089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10089600 is about 3176.4130713747. The cubic root of 10089600 is about 216.0850145461.

The spelling of 10089600 in words is "ten million, eighty-nine thousand, six hundred".