3105640661201 has 16 divisors (see below), whose sum is σ = 3380822487504. Its totient is φ = 2835674210304.

The previous prime is 3105640661191. The next prime is 3105640661257. The reversal of 3105640661201 is 1021660465013.

It can be written as a sum of positive squares in 8 ways, for example, as 1702505649601 + 1403135011600 = 1304801^2 + 1184540^2 .

It is not a de Polignac number, because 3105640661201 - 2¹⁴ = 3105640644817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3105640661281) 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, 1704395 + ... + 3019311.

It is an arithmetic number, because the mean of its divisors is an integer number (211301405469).

Almost surely, 2^{3105640661201} is an apocalyptic number.

It is an amenable number.

3105640661201 is a deficient number, since it is larger than the sum of its proper divisors (275181826303).

3105640661201 is a wasteful number, since it uses less digits than its factorization.

3105640661201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316900.

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 3105640661201 in words is "three trillion, one hundred five billion, six hundred forty million, six hundred sixty-one thousand, two hundred one".