105001000061565 has 32 divisors (see below), whose sum is σ = 169886490314112. Its totient is φ = 55375279232000.

The previous prime is 105001000061563. The next prime is 105001000061593. The reversal of 105001000061565 is 565160000100501.

It is not a de Polignac number, because 105001000061565 - 2¹ = 105001000061563 is a prime.

It is a super-2 number, since 2×105001000061565² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105001000061563) 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, 94529016 + ... + 95633345.

It is an arithmetic number, because the mean of its divisors is an integer number (5308952822316).

Almost surely, 2^{105001000061565} is an apocalyptic number.

105001000061565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105001000061565 is a deficient number, since it is larger than the sum of its proper divisors (64885490252547).

105001000061565 is a wasteful number, since it uses less digits than its factorization.

105001000061565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190162781.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 105001000061565 in words is "one hundred five trillion, one billion, sixty-one thousand, five hundred sixty-five".