107874048 has 144 divisors (see below), whose sum is σ = 310818816. Its totient is φ = 33116160.

The previous prime is 107874043. The next prime is 107874089. The reversal of 107874048 is 840478701.

It is a junction number, because it is equal to n+sod(n) for n = 107873997 and 107874015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107874043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547486 + ... + 547682.

It is an arithmetic number, because the mean of its divisors is an integer number (2158464).

Almost surely, 2^107874048 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 107874048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155409408).

107874048 is an abundant number, since it is smaller than the sum of its proper divisors (202944768).

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

107874048 is a wasteful number, since it uses less digits than its factorization.

107874048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 107874048 is about 10386.2432091686. The cubic root of 107874048 is about 476.0351173394.

The spelling of 107874048 in words is "one hundred seven million, eight hundred seventy-four thousand, forty-eight".