105755065 has 16 divisors (see below), whose sum is σ = 140365008. Its totient is φ = 75983616.

The previous prime is 105755021. The next prime is 105755071. The reversal of 105755065 is 560557501.

It can be written as a sum of positive squares in 8 ways, for example, as 241081 + 105513984 = 491^2 + 10272^2 .

It is a cyclic number.

It is not a de Polignac number, because 105755065 - 2¹¹ = 105753017 is a prime.

It is a super-2 number, since 2×105755065² = 22368267546308450, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105755065.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19582 + ... + 24391.

It is an arithmetic number, because the mean of its divisors is an integer number (8772813).

Almost surely, 2^105755065 is an apocalyptic number.

It is an amenable number.

105755065 is a deficient number, since it is larger than the sum of its proper divisors (34609943).

105755065 is a wasteful number, since it uses less digits than its factorization.

105755065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44028.

The product of its (nonzero) digits is 26250, while the sum is 34.

The square root of 105755065 is about 10283.7281663801. The cubic root of 105755065 is about 472.8975443589.

The spelling of 105755065 in words is "one hundred five million, seven hundred fifty-five thousand, sixty-five".