105259001965 has 32 divisors (see below), whose sum is σ = 138647448576. Its totient is φ = 76233480960.

The previous prime is 105259001929. The next prime is 105259001993. The reversal of 105259001965 is 569100952501.

It is a de Polignac number, because none of the positive numbers 2^k-105259001965 is a prime.

It is a super-2 number, since 2×105259001965² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12973260 + ... + 12981370.

It is an arithmetic number, because the mean of its divisors is an integer number (4332732768).

Almost surely, 2^105259001965 is an apocalyptic number.

It is an amenable number.

105259001965 is a deficient number, since it is larger than the sum of its proper divisors (33388446611).

105259001965 is a wasteful number, since it uses less digits than its factorization.

105259001965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11949.

The product of its (nonzero) digits is 121500, while the sum is 43.

The spelling of 105259001965 in words is "one hundred five billion, two hundred fifty-nine million, one thousand, nine hundred sixty-five".