105405222504501 has 12 divisors (see below), whose sum is σ = 153759433489740. Its totient is φ = 69574404292800.

The previous prime is 105405222504467. The next prime is 105405222504563.

105405222504501 is a `hidden beast` number, since 1 + 0 + 5 + 40 + 522 + 2 + 50 + 45 + 0 + 1 = 666.

105405222504501 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 64636052519025 + 40769169985476 = 8039655^2 + 6385074^2 .

It is not a de Polignac number, because 105405222504501 - 2²³ = 105405214115893 is a prime.

It is a super-2 number, since 2×105405222504501² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105405222504301) 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, 57978669336 + ... + 57978671153.

It is an arithmetic number, because the mean of its divisors is an integer number (12813286124145).

Almost surely, 2^{105405222504501} is an apocalyptic number.

It is an amenable number.

105405222504501 is a deficient number, since it is larger than the sum of its proper divisors (48354210985239).

105405222504501 is a wasteful number, since it uses less digits than its factorization.

105405222504501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115957340596 (or 115957340593 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 105405222504501 in words is "one hundred five trillion, four hundred five billion, two hundred twenty-two million, five hundred four thousand, five hundred one".