105601101005601 has 12 divisors (see below), whose sum is σ = 154045170445140. Its totient is φ = 69703697032800.

The previous prime is 105601101005527. The next prime is 105601101005683. The reversal of 105601101005601 is 106500101106501.

105601101005601 is a `hidden beast` number, since 1 + 0 + 5 + 601 + 1 + 0 + 1 + 0 + 0 + 56 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92963246645025 + 12637854360576 = 9641745^2 + 3554976^2 .

It is not a de Polignac number, because 105601101005601 - 2⁹ = 105601101005089 is a prime.

It is a super-2 number, since 2×105601101005601² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105601101001601) 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, 58086413286 + ... + 58086415103.

It is an arithmetic number, because the mean of its divisors is an integer number (12837097537095).

Almost surely, 2^{105601101005601} is an apocalyptic number.

It is an amenable number.

105601101005601 is a deficient number, since it is larger than the sum of its proper divisors (48444069439539).

105601101005601 is a wasteful number, since it uses less digits than its factorization.

105601101005601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116172828496 (or 116172828493 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 105601101005601 in words is "one hundred five trillion, six hundred one billion, one hundred one million, five thousand, six hundred one".