105668253738 has 48 divisors (see below), whose sum is σ = 230821493760. Its totient is φ = 34934675328.

The previous prime is 105668253731. The next prime is 105668253749. The reversal of 105668253738 is 837352866501.

105668253738 is a `hidden beast` number, since 1 + 0 + 566 + 8 + 2 + 5 + 3 + 73 + 8 = 666.

It is a super-2 number, since 2×105668253738² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105668253731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11560306 + ... + 11569442.

It is an arithmetic number, because the mean of its divisors is an integer number (4808781120).

Almost surely, 2^105668253738 is an apocalyptic number.

105668253738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105668253738 is an abundant number, since it is smaller than the sum of its proper divisors (125153240022).

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

105668253738 is a wasteful number, since it uses less digits than its factorization.

105668253738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14331 (or 14328 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 105668253738 in words is "one hundred five billion, six hundred sixty-eight million, two hundred fifty-three thousand, seven hundred thirty-eight".