105100610505 has 16 divisors (see below), whose sum is σ = 183448338624. Its totient is φ = 50957871680.

The previous prime is 105100610477. The next prime is 105100610521. The reversal of 105100610505 is 505016001501.

It is not a de Polignac number, because 105100610505 - 2¹⁷ = 105100479433 is a prime.

It is a super-2 number, since 2×105100610505² (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 15 ways as a sum of consecutive naturals, for example, 318486534 + ... + 318486863.

It is an arithmetic number, because the mean of its divisors is an integer number (11465521164).

Almost surely, 2^105100610505 is an apocalyptic number.

105100610505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105100610505 is a deficient number, since it is larger than the sum of its proper divisors (78347728119).

105100610505 is a wasteful number, since it uses less digits than its factorization.

105100610505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636973416.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 105100610505 in words is "one hundred five billion, one hundred million, six hundred ten thousand, five hundred five".