105561010605601 has 16 divisors (see below), whose sum is σ = 109444250638800. Its totient is φ = 101694158512128.

The previous prime is 105561010605553. The next prime is 105561010605763. The reversal of 105561010605601 is 106506010165501.

It can be written as a sum of positive squares in 8 ways, for example, as 82642281008400 + 22918729597201 = 9090780^2 + 4787351^2 .

It is a cyclic number.

It is not a de Polignac number, because 105561010605601 - 2⁷ = 105561010605473 is a prime.

It is a super-2 number, since 2×105561010605601² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105561010608601) 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, 32396661 + ... + 35505853.

It is an arithmetic number, because the mean of its divisors is an integer number (6840265664925).

Almost surely, 2^{105561010605601} is an apocalyptic number.

It is an amenable number.

105561010605601 is a deficient number, since it is larger than the sum of its proper divisors (3883240033199).

105561010605601 is a wasteful number, since it uses less digits than its factorization.

105561010605601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111828.

The product of its (nonzero) digits is 27000, while the sum is 37.

The spelling of 105561010605601 in words is "one hundred five trillion, five hundred sixty-one billion, ten million, six hundred five thousand, six hundred one".