10634500 has 24 divisors (see below), whose sum is σ = 23226840. Its totient is φ = 4253600.

The previous prime is 10634479. The next prime is 10634587. The reversal of 10634500 is 543601.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 10329796 = 552^2 + 3214^2 .

It is a super-2 number, since 2×10634500² = 226185180500000, which contains 22 as substring.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10135 + ... + 11134.

It is an arithmetic number, because the mean of its divisors is an integer number (967785).

Almost surely, 2^10634500 is an apocalyptic number.

10634500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10634500 is an abundant number, since it is smaller than the sum of its proper divisors (12592340).

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

10634500 is a wasteful number, since it uses less digits than its factorization.

10634500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21288 (or 21276 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 10634500 is about 3261.0581104911. The cubic root of 10634500 is about 219.9069854730.

The spelling of 10634500 in words is "ten million, six hundred thirty-four thousand, five hundred".