107982765 has 72 divisors (see below), whose sum is σ = 211914144. Its totient is φ = 50443200.

The previous prime is 107982737. The next prime is 107982767. The reversal of 107982765 is 567289701.

It is not a de Polignac number, because 107982765 - 2⁸ = 107982509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 107982765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107982767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 475582 + ... + 475808.

It is an arithmetic number, because the mean of its divisors is an integer number (2943252).

Almost surely, 2^107982765 is an apocalyptic number.

107982765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107982765 is a deficient number, since it is larger than the sum of its proper divisors (103931379).

107982765 is a wasteful number, since it uses less digits than its factorization.

107982765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 107982765 is about 10391.4755930041. The cubic root of 107982765 is about 476.1949819677.

The spelling of 107982765 in words is "one hundred seven million, nine hundred eighty-two thousand, seven hundred sixty-five".