107295916 has 48 divisors (see below), whose sum is σ = 232142400. Its totient is φ = 42255360.

The previous prime is 107295913. The next prime is 107295917. The reversal of 107295916 is 619592701.

It is a Smith number, since the sum of its digits (40) 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 (107295913) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 101760 + ... + 102808.

It is an arithmetic number, because the mean of its divisors is an integer number (4836300).

Almost surely, 2^107295916 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 107295916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116071200).

107295916 is an abundant number, since it is smaller than the sum of its proper divisors (124846484).

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

107295916 is a wasteful number, since it uses less digits than its factorization.

107295916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 40.

The square root of 107295916 is about 10358.3741967550. The cubic root of 107295916 is about 475.1831847470.

The spelling of 107295916 in words is "one hundred seven million, two hundred ninety-five thousand, nine hundred sixteen".