105537965 has 12 divisors (see below), whose sum is σ = 137138004. Its totient is φ = 77935104.

The previous prime is 105537941. The next prime is 105537973. The reversal of 105537965 is 569735501.

It can be written as a sum of positive squares in 6 ways, for example, as 9223369 + 96314596 = 3037^2 + 9814^2 .

It is not a de Polignac number, because 105537965 - 2⁸ = 105537709 is a prime.

It is a super-2 number, since 2×105537965² = 22276524112682450, 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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61604 + ... + 63293.

It is an arithmetic number, because the mean of its divisors is an integer number (11428167).

Almost surely, 2^105537965 is an apocalyptic number.

It is an amenable number.

105537965 is a deficient number, since it is larger than the sum of its proper divisors (31600039).

105537965 is a wasteful number, since it uses less digits than its factorization.

105537965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124928 (or 124915 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 41.

The square root of 105537965 is about 10273.1672331370. The cubic root of 105537965 is about 472.5737256998.

The spelling of 105537965 in words is "one hundred five million, five hundred thirty-seven thousand, nine hundred sixty-five".