107314944 has 72 divisors (see below), whose sum is σ = 311603712. Its totient is φ = 32517120.

The previous prime is 107314937. The next prime is 107314951. The reversal of 107314944 is 449413701.

It is an interprime number because it is at equal distance from previous prime (107314937) and next prime (107314951).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2097 + ... + 14799.

Almost surely, 2^107314944 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 107314944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155801856).

107314944 is an abundant number, since it is smaller than the sum of its proper divisors (204288768).

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

107314944 is a wasteful number, since it uses less digits than its factorization.

107314944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12733 (or 12719 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 107314944 is about 10359.2926399441. The cubic root of 107314944 is about 475.2112729587.

The spelling of 107314944 in words is "one hundred seven million, three hundred fourteen thousand, nine hundred forty-four".