105057253065 has 16 divisors (see below), whose sum is σ = 175399936128. Its totient is φ = 53594424576.

The previous prime is 105057253027. The next prime is 105057253121. The reversal of 105057253065 is 560352750501.

It is not a de Polignac number, because 105057253065 - 2²¹ = 105055155913 is a prime.

It is a super-2 number, since 2×105057253065² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

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, 152256544 + ... + 152257233.

It is an arithmetic number, because the mean of its divisors is an integer number (10962496008).

Almost surely, 2^105057253065 is an apocalyptic number.

105057253065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105057253065 is a deficient number, since it is larger than the sum of its proper divisors (70342683063).

105057253065 is a wasteful number, since it uses less digits than its factorization.

105057253065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304513808.

The product of its (nonzero) digits is 157500, while the sum is 39.

The spelling of 105057253065 in words is "one hundred five billion, fifty-seven million, two hundred fifty-three thousand, sixty-five".