105011110005601 has 16 divisors (see below), whose sum is σ = 109413905448960. Its totient is φ = 100671812738640.

The previous prime is 105011110005563. The next prime is 105011110005653. The reversal of 105011110005601 is 106500011110501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105011110005601 is a prime.

It is a super-2 number, since 2×105011110005601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105011110005661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173465520 + ... + 174069838.

It is an arithmetic number, because the mean of its divisors is an integer number (6838369090560).

Almost surely, 2^{105011110005601} is an apocalyptic number.

It is an amenable number.

105011110005601 is a deficient number, since it is larger than the sum of its proper divisors (4402795443359).

105011110005601 is a wasteful number, since it uses less digits than its factorization.

105011110005601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656844.

The product of its (nonzero) digits is 150, while the sum is 22.

The spelling of 105011110005601 in words is "one hundred five trillion, eleven billion, one hundred ten million, five thousand, six hundred one".