105360565101 has 32 divisors (see below), whose sum is σ = 154725120000. Its totient is φ = 63241490880.

The previous prime is 105360565087. The next prime is 105360565133. The reversal of 105360565101 is 101565063501.

It is not a de Polignac number, because 105360565101 - 2⁵ = 105360565069 is a prime.

It is a super-2 number, since 2×105360565101² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105360565181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10782520 + ... + 10792286.

It is an arithmetic number, because the mean of its divisors is an integer number (4835160000).

Almost surely, 2^105360565101 is an apocalyptic number.

105360565101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105360565101 is a deficient number, since it is larger than the sum of its proper divisors (49364554899).

105360565101 is a wasteful number, since it uses less digits than its factorization.

105360565101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12889.

The product of its (nonzero) digits is 13500, while the sum is 33.

The spelling of 105360565101 in words is "one hundred five billion, three hundred sixty million, five hundred sixty-five thousand, one hundred one".