105505610611051 has 16 divisors (see below), whose sum is σ = 121190985660096. Its totient is φ = 89973529946496.

The previous prime is 105505610611043. The next prime is 105505610611081. The reversal of 105505610611051 is 150116016505501.

It is not a de Polignac number, because 105505610611051 - 2³ = 105505610611043 is a prime.

It is a super-2 number, since 2×105505610611051² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105505610611051.

It is not an unprimeable number, because it can be changed into a prime (105505610611081) 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, 196704405 + ... + 197240041.

It is an arithmetic number, because the mean of its divisors is an integer number (7574436603756).

Almost surely, 2^{105505610611051} is an apocalyptic number.

105505610611051 is a deficient number, since it is larger than the sum of its proper divisors (15685375049045).

105505610611051 is a wasteful number, since it uses less digits than its factorization.

105505610611051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678678.

The product of its (nonzero) digits is 22500, while the sum is 37.

The spelling of 105505610611051 in words is "one hundred five trillion, five hundred five billion, six hundred ten million, six hundred eleven thousand, fifty-one".