105766079 has 16 divisors (see below), whose sum is σ = 111555840. Its totient is φ = 100154880.

The previous prime is 105766057. The next prime is 105766081. The reversal of 105766079 is 970667501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105766079 is a prime.

It is a super-2 number, since 2×105766079² = 22372926934068482, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105766039) 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, 381689 + ... + 381965.

It is an arithmetic number, because the mean of its divisors is an integer number (6972240).

Almost surely, 2^105766079 is an apocalyptic number.

105766079 is a deficient number, since it is larger than the sum of its proper divisors (5789761).

105766079 is a wasteful number, since it uses less digits than its factorization.

105766079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530.

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 105766079 is about 10284.2636586194. The cubic root of 105766079 is about 472.9139606341.

The spelling of 105766079 in words is "one hundred five million, seven hundred sixty-six thousand, seventy-nine".