105636615233201 has 64 divisors (see below), whose sum is σ = 126836796979200. Its totient is φ = 87032819782656.

The previous prime is 105636615233179. The next prime is 105636615233207. The reversal of 105636615233201 is 102332516636501.

It is a cyclic number.

It is not a de Polignac number, because 105636615233201 - 2¹⁰ = 105636615232177 is a prime.

It is a super-2 number, since 2×105636615233201² (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 (105636615233207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6047773670 + ... + 6047791136.

It is an arithmetic number, because the mean of its divisors is an integer number (1981824952800).

Almost surely, 2^{105636615233201} is an apocalyptic number.

It is an amenable number.

105636615233201 is a deficient number, since it is larger than the sum of its proper divisors (21200181745999).

105636615233201 is a wasteful number, since it uses less digits than its factorization.

105636615233201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33478.

The product of its (nonzero) digits is 583200, while the sum is 44.

The spelling of 105636615233201 in words is "one hundred five trillion, six hundred thirty-six billion, six hundred fifteen million, two hundred thirty-three thousand, two hundred one".