107890705 has 32 divisors (see below), whose sum is σ = 144827424. Its totient is φ = 76640256.

The previous prime is 107890697. The next prime is 107890711. The reversal of 107890705 is 507098701.

107890705 is a nontrivial binomial coefficient, being equal to C(14690, 2).

It can be written as a sum of positive squares in 16 ways, for example, as 41679936 + 66210769 = 6456^2 + 8137^2 .

It is a cyclic number.

It is not a de Polignac number, because 107890705 - 2³ = 107890697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian 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 31 ways as a sum of consecutive naturals, for example, 271567 + ... + 271963.

It is an arithmetic number, because the mean of its divisors is an integer number (4525857).

Almost surely, 2^107890705 is an apocalyptic number.

107890705 is the 14689-th triangular number and also the 7345-th hexagonal number.

107890705 is the 4897-th centered nonagonal number.

It is an amenable number.

107890705 is a deficient number, since it is larger than the sum of its proper divisors (36936719).

107890705 is a wasteful number, since it uses less digits than its factorization.

107890705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565.

The product of its (nonzero) digits is 17640, while the sum is 37.

The square root of 107890705 is about 10387.0450562227. The cubic root of 107890705 is about 476.0596178534.

The spelling of 107890705 in words is "one hundred seven million, eight hundred ninety thousand, seven hundred five".