10464100 has 36 divisors (see below), whose sum is σ = 22850100. Its totient is φ = 4159360.

The previous prime is 10464071. The next prime is 10464107. The reversal of 10464100 is 146401.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2802276 + 7661824 = 1674^2 + 2768^2 .

It is not an unprimeable number, because it can be changed into a prime (10464107) 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, 26706 + ... + 27094.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 2^10464100 is an apocalyptic number.

10464100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10464100 is an abundant number, since it is smaller than the sum of its proper divisors (12386000).

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

10464100 is a wasteful number, since it uses less digits than its factorization.

10464100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10464100 is about 3234.8261158832. The cubic root of 10464100 is about 218.7261089554.

The spelling of 10464100 in words is "ten million, four hundred sixty-four thousand, one hundred".