10634900 has 18 divisors (see below), whose sum is σ = 23077950. Its totient is φ = 4253920.

The previous prime is 10634893. The next prime is 10634903. The reversal of 10634900 is 943601.

It can be written as a sum of positive squares in 3 ways, for example, as 925444 + 9709456 = 962^2 + 3116^2 .

It is a super-2 number, since 2×10634900² = 226202196020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10634903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53075 + ... + 53274.

Almost surely, 2^10634900 is an apocalyptic number.

10634900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10634900 is an abundant number, since it is smaller than the sum of its proper divisors (12443050).

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

10634900 is a wasteful number, since it uses less digits than its factorization.

10634900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106363 (or 106356 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 10634900 is about 3261.1194397016. The cubic root of 10634900 is about 219.9097425903.

The spelling of 10634900 in words is "ten million, six hundred thirty-four thousand, nine hundred".