107166330 has 24 divisors (see below), whose sum is σ = 278632692. Its totient is φ = 28577664.

The previous prime is 107166307. The next prime is 107166331. The reversal of 107166330 is 33661701.

107166330 is a `hidden beast` number, since 10 + 7 + 16 + 633 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87104889 + 20061441 = 9333^2 + 4479^2 .

It is a super-2 number, since 2×107166330² = 22969244571337800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107166294 and 107166303.

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 11 ways as a sum of consecutive naturals, for example, 595279 + ... + 595458.

Almost surely, 2^107166330 is an apocalyptic number.

107166330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107166330 is an abundant number, since it is smaller than the sum of its proper divisors (171466362).

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

107166330 is a wasteful number, since it uses less digits than its factorization.

107166330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190750 (or 1190747 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 107166330 is about 10352.1171747619. The cubic root of 107166330 is about 474.9918077996.

The spelling of 107166330 in words is "one hundred seven million, one hundred sixty-six thousand, three hundred thirty".