105702676601001 has 16 divisors (see below), whose sum is σ = 141016842393600. Its totient is φ = 70428483569808.

The previous prime is 105702676600993. The next prime is 105702676601003. The reversal of 105702676601001 is 100106676207501.

It is not a de Polignac number, because 105702676601001 - 2³ = 105702676600993 is a prime.

It is a super-2 number, since 2×105702676601001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105702676601003) 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, 168498160 + ... + 169124318.

It is an arithmetic number, because the mean of its divisors is an integer number (8813552649600).

Almost surely, 2^{105702676601001} is an apocalyptic number.

It is an amenable number.

105702676601001 is a deficient number, since it is larger than the sum of its proper divisors (35314165792599).

105702676601001 is a wasteful number, since it uses less digits than its factorization.

105702676601001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657988.

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 105702676601001 in words is "one hundred five trillion, seven hundred two billion, six hundred seventy-six million, six hundred one thousand, one".