107405676 has 240 divisors, whose sum is σ = 351267840. Its totient is φ = 27941760.

The previous prime is 107405659. The next prime is 107405681. The reversal of 107405676 is 676504701.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 107405676.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1512721 + ... + 1512791.

It is an arithmetic number, because the mean of its divisors is an integer number (1463616).

Almost surely, 2^107405676 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 107405676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633920).

107405676 is an abundant number, since it is smaller than the sum of its proper divisors (243862164).

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

107405676 is a wasteful number, since it uses less digits than its factorization.

107405676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 107405676 is about 10363.6709712341. The cubic root of 107405676 is about 475.3451614987.

The spelling of 107405676 in words is "one hundred seven million, four hundred five thousand, six hundred seventy-six".