105061501165 has 16 divisors (see below), whose sum is σ = 136091664000. Its totient is φ = 77622647872.

The previous prime is 105061501157. The next prime is 105061501189. The reversal of 105061501165 is 561105160501.

It is a cyclic number.

It is not a de Polignac number, because 105061501165 - 2³ = 105061501157 is a prime.

It is a super-2 number, since 2×105061501165² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15748015 + ... + 15754684.

It is an arithmetic number, because the mean of its divisors is an integer number (8505729000).

Almost surely, 2^105061501165 is an apocalyptic number.

It is an amenable number.

105061501165 is a deficient number, since it is larger than the sum of its proper divisors (31030162835).

105061501165 is a wasteful number, since it uses less digits than its factorization.

105061501165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31502756.

The product of its (nonzero) digits is 4500, while the sum is 31.

Adding to 105061501165 its reverse (561105160501), we get a palindrome (666166661666).

The spelling of 105061501165 in words is "one hundred five billion, sixty-one million, five hundred one thousand, one hundred sixty-five".