1055106100105 has 16 divisors (see below), whose sum is σ = 1274343451920. Its totient is φ = 838618841088.

The previous prime is 1055106100063. The next prime is 1055106100157. The reversal of 1055106100105 is 5010016015501.

It can be written as a sum of positive squares in 8 ways, for example, as 26855343376 + 1028250756729 = 163876^2 + 1014027^2 .

It is a cyclic number.

It is not a de Polignac number, because 1055106100105 - 2⁷ = 1055106099977 is a prime.

It is a super-2 number, since 2×1055106100105² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1055106100105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31179 + ... + 1452991.

It is an arithmetic number, because the mean of its divisors is an integer number (79646465745).

Almost surely, 2^{1055106100105} is an apocalyptic number.

It is an amenable number.

1055106100105 is a deficient number, since it is larger than the sum of its proper divisors (219237351815).

1055106100105 is a wasteful number, since it uses less digits than its factorization.

1055106100105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422780.

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 1055106100105 in words is "one trillion, fifty-five billion, one hundred six million, one hundred thousand, one hundred five".