107164944 has 120 divisors (see below), whose sum is σ = 318750432. Its totient is φ = 34836480.

The previous prime is 107164933. The next prime is 107164951. The reversal of 107164944 is 449461701.

107164944 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 649 + 4 + 4 = 666.

It is a super-2 number, since 2×107164944² = 22968650445046272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107164899 and 107164908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166864 + ... + 167504.

Almost surely, 2^107164944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107164944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159375216).

107164944 is an abundant number, since it is smaller than the sum of its proper divisors (211585488).

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

107164944 is an equidigital number, since it uses as much as digits as its factorization.

107164944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 107164944 is about 10352.0502317174. The cubic root of 107164944 is about 474.9897600747.

The spelling of 107164944 in words is "one hundred seven million, one hundred sixty-four thousand, nine hundred forty-four".