107319696 has 80 divisors (see below), whose sum is σ = 303790080. Its totient is φ = 32376960.

The previous prime is 107319677. The next prime is 107319697. The reversal of 107319696 is 696913701.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (107319697) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 231561 + ... + 232023.

It is an arithmetic number, because the mean of its divisors is an integer number (3797376).

Almost surely, 2^107319696 is an apocalyptic number.

107319696 is a gapful number since it is divisible by the number (16) 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 107319696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151895040).

107319696 is an abundant number, since it is smaller than the sum of its proper divisors (196470384).

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

107319696 is a wasteful number, since it uses less digits than its factorization.

107319696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 107319696 is about 10359.5219966946. The cubic root of 107319696 is about 475.2182871127.

The spelling of 107319696 in words is "one hundred seven million, three hundred nineteen thousand, six hundred ninety-six".