107166312 has 72 divisors (see below), whose sum is σ = 319052370. Its totient is φ = 32472000.

The previous prime is 107166307. The next prime is 107166331. The reversal of 107166312 is 213661701.

107166312 is a `hidden beast` number, since 10 + 7 + 16 + 631 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96707556 + 10458756 = 9834^2 + 3234^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×107166312² = 22969236855362688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2562 + ... + 14862.

Almost surely, 2^107166312 is an apocalyptic number.

107166312 is a gapful number since it is divisible by the number (12) 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 107166312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159526185).

107166312 is an abundant number, since it is smaller than the sum of its proper divisors (211886058).

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

107166312 is a wasteful number, since it uses less digits than its factorization.

107166312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12335 (or 12317 counting only the distinct ones).

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

The square root of 107166312 is about 10352.1163053745. The cubic root of 107166312 is about 474.9917812059.

The spelling of 107166312 in words is "one hundred seven million, one hundred sixty-six thousand, three hundred twelve".