105631612561 has 8 divisors (see below), whose sum is σ = 111776747904. Its totient is φ = 99615848640.

The previous prime is 105631612549. The next prime is 105631612643. The reversal of 105631612561 is 165216136501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105631612561 - 2¹⁷ = 105631481489 is a prime.

It is a super-2 number, since 2×105631612561² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105631612561.

It is not an unprimeable number, because it can be changed into a prime (105631612531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32341176 + ... + 32344441.

It is an arithmetic number, because the mean of its divisors is an integer number (13972093488).

Almost surely, 2^105631612561 is an apocalyptic number.

It is an amenable number.

105631612561 is a deficient number, since it is larger than the sum of its proper divisors (6145135343).

105631612561 is an equidigital number, since it uses as much as digits as its factorization.

105631612561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64685711.

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 105631612561 in words is "one hundred five billion, six hundred thirty-one million, six hundred twelve thousand, five hundred sixty-one".