105880765 has 8 divisors (see below), whose sum is σ = 127716408. Its totient is φ = 84264960.

The previous prime is 105880759. The next prime is 105880781. The reversal of 105880765 is 567088501.

It can be written as a sum of positive squares in 4 ways, for example, as 14907321 + 90973444 = 3861^2 + 9538^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105880765 - 2⁷ = 105880637 is a prime.

It is a super-2 number, since 2×105880765² = 22421472793970450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53896 + ... + 55825.

It is an arithmetic number, because the mean of its divisors is an integer number (15964551).

Almost surely, 2^105880765 is an apocalyptic number.

It is an amenable number.

105880765 is a deficient number, since it is larger than the sum of its proper divisors (21835643).

105880765 is a wasteful number, since it uses less digits than its factorization.

105880765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109919.

The product of its (nonzero) digits is 67200, while the sum is 40.

The square root of 105880765 is about 10289.8379481895. The cubic root of 105880765 is about 473.0848314817.

The spelling of 105880765 in words is "one hundred five million, eight hundred eighty thousand, seven hundred sixty-five".