107887416 has 96 divisors (see below), whose sum is σ = 337937040. Its totient is φ = 28449792.

The previous prime is 107887399. The next prime is 107887427. The reversal of 107887416 is 614788701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11760 + ... + 18816.

Almost surely, 2^107887416 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 107887416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168968520).

107887416 is an abundant number, since it is smaller than the sum of its proper divisors (230049624).

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

107887416 is a wasteful number, since it uses less digits than its factorization.

107887416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7093 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 107887416 is about 10386.8867327992. The cubic root of 107887416 is about 476.0547803159.

The spelling of 107887416 in words is "one hundred seven million, eight hundred eighty-seven thousand, four hundred sixteen".