105056105505 has 64 divisors (see below), whose sum is σ = 182187048960. Its totient is φ = 51387436800.

The previous prime is 105056105477. The next prime is 105056105507. The reversal of 105056105505 is 505501650501.

It is not a de Polignac number, because 105056105505 - 2¹⁴ = 105056089121 is a prime.

It is a super-2 number, since 2×105056105505² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105056105507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22880760 + ... + 22885350.

It is an arithmetic number, because the mean of its divisors is an integer number (2846672640).

Almost surely, 2^105056105505 is an apocalyptic number.

105056105505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105056105505 is a deficient number, since it is larger than the sum of its proper divisors (77130943455).

105056105505 is a wasteful number, since it uses less digits than its factorization.

105056105505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342.

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 105056105505 in words is "one hundred five billion, fifty-six million, one hundred five thousand, five hundred five".