105505010505601 has 16 divisors (see below), whose sum is σ = 124062193584000. Its totient is φ = 87838520411520.

The previous prime is 105505010505599. The next prime is 105505010505617. The reversal of 105505010505601 is 106505010505501.

It is a cyclic number.

It is not a de Polignac number, because 105505010505601 - 2¹ = 105505010505599 is a prime.

It is a super-2 number, since 2×105505010505601² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105505010505641) 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, 809655726 + ... + 809786023.

It is an arithmetic number, because the mean of its divisors is an integer number (7753887099000).

Almost surely, 2^{105505010505601} is an apocalyptic number.

It is an amenable number.

105505010505601 is a deficient number, since it is larger than the sum of its proper divisors (18557183078399).

105505010505601 is a wasteful number, since it uses less digits than its factorization.

105505010505601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619442024.

The product of its (nonzero) digits is 18750, while the sum is 34.

The spelling of 105505010505601 in words is "one hundred five trillion, five hundred five billion, ten million, five hundred five thousand, six hundred one".