107776340 has 48 divisors (see below), whose sum is σ = 259459200. Its totient is φ = 36838272.

The previous prime is 107776337. The next prime is 107776363. The reversal of 107776340 is 43677701.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 107776340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53471 + ... + 55449.

It is an arithmetic number, because the mean of its divisors is an integer number (5405400).

Almost surely, 2^107776340 is an apocalyptic number.

107776340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107776340 is an abundant number, since it is smaller than the sum of its proper divisors (151682860).

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

107776340 is a wasteful number, since it uses less digits than its factorization.

With its successor (107776341) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2382).

With its successor (107776341) it forms an eRAP, since the sums of their prime factors are consecutive (2384 and 2385).

107776340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 35.

The square root of 107776340 is about 10381.5384216406. The cubic root of 107776340 is about 475.8913493983.

The spelling of 107776340 in words is "one hundred seven million, seven hundred seventy-six thousand, three hundred forty".