107891408 has 40 divisors (see below), whose sum is σ = 221652480. Its totient is φ = 50785920.

The previous prime is 107891393. The next prime is 107891431. The reversal of 107891408 is 804198701.

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, 15413 + ... + 21291.

It is an arithmetic number, because the mean of its divisors is an integer number (5541312).

Almost surely, 2^107891408 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 107891408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110826240).

107891408 is an abundant number, since it is smaller than the sum of its proper divisors (113761072).

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

107891408 is a wasteful number, since it uses less digits than its factorization.

107891408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5955 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The square root of 107891408 is about 10387.0788963982. The cubic root of 107891408 is about 476.0606518294.

The spelling of 107891408 in words is "one hundred seven million, eight hundred ninety-one thousand, four hundred eight".