105117495835 has 12 divisors (see below), whose sum is σ = 138650846544. Its totient is φ = 76449087440.

The previous prime is 105117495829. The next prime is 105117495871. The reversal of 105117495835 is 538594711501.

It is not a de Polignac number, because 105117495835 - 2¹⁷ = 105117364763 is a prime.

It is a super-2 number, since 2×105117495835² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86873359 + ... + 86874568.

It is an arithmetic number, because the mean of its divisors is an integer number (11554237212).

Almost surely, 2^105117495835 is an apocalyptic number.

105117495835 is a deficient number, since it is larger than the sum of its proper divisors (33533350709).

105117495835 is a wasteful number, since it uses less digits than its factorization.

105117495835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173747954 (or 173747943 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 49.

The spelling of 105117495835 in words is "one hundred five billion, one hundred seventeen million, four hundred ninety-five thousand, eight hundred thirty-five".