107874896 has 40 divisors (see below), whose sum is σ = 217921320. Its totient is φ = 51666944.

The previous prime is 107874863. The next prime is 107874929. The reversal of 107874896 is 698478701.

It is an interprime number because it is at equal distance from previous prime (107874863) and next prime (107874929).

It can be written as a sum of positive squares in 4 ways, for example, as 49505296 + 58369600 = 7036^2 + 7640^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62720 + ... + 64416.

It is an arithmetic number, because the mean of its divisors is an integer number (5448033).

Almost surely, 2^107874896 is an apocalyptic number.

107874896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107874896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108960660).

107874896 is an abundant number, since it is smaller than the sum of its proper divisors (110046424).

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

107874896 is a wasteful number, since it uses less digits than its factorization.

107874896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 50.

The square root of 107874896 is about 10386.2840323188. The cubic root of 107874896 is about 476.0363647100.

The spelling of 107874896 in words is "one hundred seven million, eight hundred seventy-four thousand, eight hundred ninety-six".