10164800 has 42 divisors (see below), whose sum is σ = 25015698. Its totient is φ = 4065280.

The previous prime is 10164797. The next prime is 10164809. The reversal of 10164800 is 846101.

It can be written as a sum of positive squares in 3 ways, for example, as 529984 + 9634816 = 728^2 + 3104^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10164809) 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, 1577 + ... + 4776.

Almost surely, 2^10164800 is an apocalyptic number.

10164800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10164800 is an abundant number, since it is smaller than the sum of its proper divisors (14850898).

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

10164800 is an equidigital number, since it uses as much as digits as its factorization.

10164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6375 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 10164800 is about 3188.2283481583. The cubic root of 10164800 is about 216.6205292951.

The spelling of 10164800 in words is "ten million, one hundred sixty-four thousand, eight hundred".