105601101005595 has 128 divisors (see below), whose sum is σ = 198492326323200. Its totient is φ = 47469174294528.

The previous prime is 105601101005527. The next prime is 105601101005683. The reversal of 105601101005595 is 595500101106501.

It is not a de Polignac number, because 105601101005595 - 2¹¹ = 105601101003547 is a prime.

It is a super-2 number, since 2×105601101005595² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59618677 + ... + 61364393.

It is an arithmetic number, because the mean of its divisors is an integer number (1550721299400).

Almost surely, 2^{105601101005595} is an apocalyptic number.

105601101005595 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105601101005595 is a deficient number, since it is larger than the sum of its proper divisors (92891225317605).

105601101005595 is a wasteful number, since it uses less digits than its factorization.

105601101005595 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746349.

The product of its (nonzero) digits is 33750, while the sum is 39.

The spelling of 105601101005595 in words is "one hundred five trillion, six hundred one billion, one hundred one million, five thousand, five hundred ninety-five".