10166400 has 144 divisors (see below), whose sum is σ = 36378810. Its totient is φ = 2703360.

The previous prime is 10166399. The next prime is 10166411. The reversal of 10166400 is 466101.

10166400 is a `hidden beast` number, since 1 + 0 + 1 + 664 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7096896 + 3069504 = 2664^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 28624 + ... + 28976.

Almost surely, 2^10166400 is an apocalyptic number.

10166400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18189405).

10166400 is an abundant number, since it is smaller than the sum of its proper divisors (26212410).

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

10166400 is a wasteful number, since it uses less digits than its factorization.

10166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10166400 is about 3188.4792613407. The cubic root of 10166400 is about 216.6318944856.

The spelling of 10166400 in words is "ten million, one hundred sixty-six thousand, four hundred".