105600605600601 has 48 divisors (see below), whose sum is σ = 165162291275520. Its totient is φ = 66672787816800.

The previous prime is 105600605600593. The next prime is 105600605600603. The reversal of 105600605600601 is 106006506006501.

It is not a de Polignac number, because 105600605600601 - 2³ = 105600605600593 is a prime.

It is a super-2 number, since 2×105600605600601² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105600605600603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35158641 + ... + 38043806.

It is an arithmetic number, because the mean of its divisors is an integer number (3440881068240).

Almost surely, 2^{105600605600601} is an apocalyptic number.

It is an amenable number.

105600605600601 is a deficient number, since it is larger than the sum of its proper divisors (59561685674919).

105600605600601 is a wasteful number, since it uses less digits than its factorization.

105600605600601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73202603 (or 73202574 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 105600605600601 in words is "one hundred five trillion, six hundred billion, six hundred five million, six hundred thousand, six hundred one".