105661685106 has 24 divisors (see below), whose sum is σ = 228940272444. Its totient is φ = 35219543040.

The previous prime is 105661685083. The next prime is 105661685117. The reversal of 105661685106 is 601586166501.

105661685106 is a `hidden beast` number, since 1 + 0 + 566 + 1 + 6 + 85 + 1 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95286429225 + 10375255881 = 308685^2 + 101859^2 .

It is a super-2 number, since 2×105661685106² (a number of 23 digits) contains 22 as substring.

It is a Curzon 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, 809346 + ... + 930786.

Almost surely, 2^105661685106 is an apocalyptic number.

105661685106 is an abundant number, since it is smaller than the sum of its proper divisors (123278587338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105661685106 is a wasteful number, since it uses less digits than its factorization.

105661685106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169786 (or 169783 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 105661685106 in words is "one hundred five billion, six hundred sixty-one million, six hundred eighty-five thousand, one hundred six".