10275400 has 48 divisors (see below), whose sum is σ = 24217200. Its totient is φ = 4054080.

The previous prime is 10275373. The next prime is 10275413. The reversal of 10275400 is 457201.

10275400 = 66² + 67² + ... + 314².

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, 16291 + ... + 16909.

It is an arithmetic number, because the mean of its divisors is an integer number (504525).

Almost surely, 2^10275400 is an apocalyptic number.

10275400 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 10275400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12108600).

10275400 is an abundant number, since it is smaller than the sum of its proper divisors (13941800).

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

10275400 is a wasteful number, since it uses less digits than its factorization.

10275400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 10275400 is about 3205.5264778192. The cubic root of 10275400 is about 217.4033568970.

The spelling of 10275400 in words is "ten million, two hundred seventy-five thousand, four hundred".