105600556005561 has 12 divisors (see below), whose sum is σ = 154044375428580. Its totient is φ = 69703337296800.

The previous prime is 105600556005557. The next prime is 105600556005589. The reversal of 105600556005561 is 165500655006501.

It can be written as a sum of positive squares in 2 ways, for example, as 47528063283600 + 58072492721961 = 6894060^2 + 7620531^2 .

It is not a de Polignac number, because 105600556005561 - 2² = 105600556005557 is a prime.

It is a super-2 number, since 2×105600556005561² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105600556005541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58086113506 + ... + 58086115323.

It is an arithmetic number, because the mean of its divisors is an integer number (12837031285715).

Almost surely, 2^{105600556005561} is an apocalyptic number.

It is an amenable number.

105600556005561 is a deficient number, since it is larger than the sum of its proper divisors (48443819423019).

105600556005561 is a wasteful number, since it uses less digits than its factorization.

105600556005561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116172228936 (or 116172228933 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 105600556005561 in words is "one hundred five trillion, six hundred billion, five hundred fifty-six million, five thousand, five hundred sixty-one".