10534900 has 36 divisors (see below), whose sum is σ = 24209388. Its totient is φ = 3965440.

The previous prime is 10534837. The next prime is 10534903. The reversal of 10534900 is 943501.

10534900 = 651² + 652² + ... + 674².

It can be written as a sum of positive squares in 6 ways, for example, as 24336 + 10510564 = 156^2 + 3242^2 .

It is a super-2 number, since 2×10534900² = 221968236020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10534903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1399 + ... + 4798.

It is an arithmetic number, because the mean of its divisors is an integer number (672483).

Almost surely, 2^10534900 is an apocalyptic number.

10534900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10534900 is an abundant number, since it is smaller than the sum of its proper divisors (13674488).

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

10534900 is a wasteful number, since it uses less digits than its factorization.

10534900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228 (or 6221 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 10534900 is about 3245.7510687051. The cubic root of 10534900 is about 219.2183001487.

The spelling of 10534900 in words is "ten million, five hundred thirty-four thousand, nine hundred".