107166321 has 10 divisors (see below), whose sum is σ = 160088082. Its totient is φ = 71444160.

The previous prime is 107166307. The next prime is 107166331. The reversal of 107166321 is 123661701.

107166321 is a `hidden beast` number, since 10 + 7 + 16 + 632 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103245921 + 3920400 = 10161^2 + 1980^2 .

It is not a de Polignac number, because 107166321 - 2¹¹ = 107164273 is a prime.

It is a super-2 number, since 2×107166321² = 22969240713350082, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (107166331) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 661440 + ... + 661601.

Almost surely, 2^107166321 is an apocalyptic number.

It is an amenable number.

107166321 is a deficient number, since it is larger than the sum of its proper divisors (52921761).

107166321 is an equidigital number, since it uses as much as digits as its factorization.

107166321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323053 (or 1323044 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107166321 is about 10352.1167400682. The cubic root of 107166321 is about 474.9917945028.

The spelling of 107166321 in words is "one hundred seven million, one hundred sixty-six thousand, three hundred twenty-one".