10538400 has 72 divisors (see below), whose sum is σ = 34310304. Its totient is φ = 2809600.

The previous prime is 10538329. The next prime is 10538413. The reversal of 10538400 is 483501.

It is a super-2 number, since 2×10538400² = 222115749120000, which contains 22 as substring.

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, 205 + ... + 4595.

It is an arithmetic number, because the mean of its divisors is an integer number (476532).

Almost surely, 2^10538400 is an apocalyptic number.

10538400 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 10538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17155152).

10538400 is an abundant number, since it is smaller than the sum of its proper divisors (23771904).

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

10538400 is a wasteful number, since it uses less digits than its factorization.

10538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10538400 is about 3246.2901903558. The cubic root of 10538400 is about 219.2425743578.

It can be divided in two parts, 1053 and 8400, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 10538400 in words is "ten million, five hundred thirty-eight thousand, four hundred".