105056000505 has 24 divisors (see below), whose sum is σ = 187018612872. Its totient is φ = 54515545344.

The previous prime is 105056000479. The next prime is 105056000519. The reversal of 105056000505 is 505000650501.

105056000505 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 600 + 0 + 50 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35701724601 + 69354275904 = 188949^2 + 263352^2 .

It is not a de Polignac number, because 105056000505 - 2⁵ = 105056000473 is a prime.

It is a super-2 number, since 2×105056000505² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31546684 + ... + 31550013.

It is an arithmetic number, because the mean of its divisors is an integer number (7792442203).

Almost surely, 2^105056000505 is an apocalyptic number.

105056000505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105056000505 is a deficient number, since it is larger than the sum of its proper divisors (81962612367).

105056000505 is a wasteful number, since it uses less digits than its factorization.

105056000505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63096745 (or 63096742 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 105056000505 in words is "one hundred five billion, fifty-six million, five hundred five", and thus it is an aban number.