105790642695 has 48 divisors (see below), whose sum is σ = 185151938400. Its totient is φ = 55874085120.

The previous prime is 105790642673. The next prime is 105790642781. The reversal of 105790642695 is 596246097501.

105790642695 is a `hidden beast` number, since 1 + 0 + 579 + 0 + 6 + 4 + 2 + 69 + 5 = 666.

It is not a de Polignac number, because 105790642695 - 2⁵ = 105790642663 is a prime.

It is a super-2 number, since 2×105790642695² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11468185 + ... + 11477405.

It is an arithmetic number, because the mean of its divisors is an integer number (3857332050).

Almost surely, 2^105790642695 is an apocalyptic number.

105790642695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105790642695 is a deficient number, since it is larger than the sum of its proper divisors (79361295705).

105790642695 is a wasteful number, since it uses less digits than its factorization.

105790642695 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11680 (or 11677 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 105790642695 in words is "one hundred five billion, seven hundred ninety million, six hundred forty-two thousand, six hundred ninety-five".