10545600 has 168 divisors, whose sum is σ = 37480240. Its totient is φ = 2595840.

The previous prime is 10545583. The next prime is 10545617. The reversal of 10545600 is 654501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10545583) and next prime (10545617).

It is a super-2 number, since 2×10545600² = 222419358720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 811194 + ... + 811206.

Almost surely, 2^10545600 is an apocalyptic number.

10545600 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 10545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18740120).

10545600 is an abundant number, since it is smaller than the sum of its proper divisors (26934640).

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

10545600 is an equidigital number, since it uses as much as digits as its factorization.

10545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 10545600 is about 3247.3989591672. The cubic root of 10545600 is about 219.2924929785.

10545600 divided by its product of nonzero digits (600) gives a cube (17576 = 26³).

The spelling of 10545600 in words is "ten million, five hundred forty-five thousand, six hundred".