105880709 has 16 divisors (see below), whose sum is σ = 122627520. Its totient is φ = 90351360.

The previous prime is 105880679. The next prime is 105880721. The reversal of 105880709 is 907088501.

It is a de Polignac number, because none of the positive numbers 2^k-105880709 is a prime.

It is a super-2 number, since 2×105880709² = 22421449076685362, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105880729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127307 + ... + 128135.

It is an arithmetic number, because the mean of its divisors is an integer number (7664220).

Almost surely, 2^105880709 is an apocalyptic number.

It is an amenable number.

105880709 is a deficient number, since it is larger than the sum of its proper divisors (16746811).

105880709 is a wasteful number, since it uses less digits than its factorization.

105880709 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540.

The product of its (nonzero) digits is 20160, while the sum is 38.

The square root of 105880709 is about 10289.8352270578. The cubic root of 105880709 is about 473.0847480774.

The spelling of 105880709 in words is "one hundred five million, eight hundred eighty thousand, seven hundred nine".