107900408 has 64 divisors (see below), whose sum is σ = 254707200. Its totient is φ = 41627520.

The previous prime is 107900407. The next prime is 107900417. The reversal of 107900408 is 804009701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107900407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66341 + ... + 67947.

It is an arithmetic number, because the mean of its divisors is an integer number (3979800).

Almost surely, 2^107900408 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 107900408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127353600).

107900408 is an abundant number, since it is smaller than the sum of its proper divisors (146806792).

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

107900408 is a wasteful number, since it uses less digits than its factorization.

107900408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 107900408 is about 10387.5121179231. The cubic root of 107900408 is about 476.0738886781.

The spelling of 107900408 in words is "one hundred seven million, nine hundred thousand, four hundred eight".