107189785 has 32 divisors (see below), whose sum is σ = 138184704. Its totient is φ = 79680000.

The previous prime is 107189779. The next prime is 107189809. The reversal of 107189785 is 587981701.

It is not a de Polignac number, because 107189785 - 2⁹ = 107189273 is a prime.

It is a super-2 number, since 2×107189785² = 22979300016692450, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641772 + ... + 641938.

It is an arithmetic number, because the mean of its divisors is an integer number (4318272).

Almost surely, 2^107189785 is an apocalyptic number.

107189785 is the 5177-th decagonal number.

It is an amenable number.

107189785 is a deficient number, since it is larger than the sum of its proper divisors (30994919).

107189785 is a wasteful number, since it uses less digits than its factorization.

107189785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345.

The product of its (nonzero) digits is 141120, while the sum is 46.

The square root of 107189785 is about 10353.2499728346. The cubic root of 107189785 is about 475.0264583600.

It can be divided in two parts, 10718 and 9785, that added together give a triangular number (20503 = T₂₀₂).

The spelling of 107189785 in words is "one hundred seven million, one hundred eighty-nine thousand, seven hundred eighty-five".