105001100505 has 24 divisors (see below), whose sum is σ = 208002180672. Its totient is φ = 48000502944.

The previous prime is 105001100461. The next prime is 105001100521. The reversal of 105001100505 is 505001100501.

105001100505 is a `hidden beast` number, since 1 + 0 + 50 + 0 + 110 + 0 + 505 = 666.

It is not a de Polignac number, because 105001100505 - 2⁶ = 105001100441 is a prime.

It is a super-2 number, since 2×105001100505² (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, 166668099 + ... + 166668728.

It is an arithmetic number, because the mean of its divisors is an integer number (8666757528).

Almost surely, 2^105001100505 is an apocalyptic number.

105001100505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105001100505 is a deficient number, since it is larger than the sum of its proper divisors (103001080167).

105001100505 is a wasteful number, since it uses less digits than its factorization.

105001100505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333336845 (or 333336842 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 105001100505 in words is "one hundred five billion, one million, one hundred thousand, five hundred five".