105669768 has 32 divisors (see below), whose sum is σ = 267523200. Its totient is φ = 34776768.

The previous prime is 105669761. The next prime is 105669779. The reversal of 105669768 is 867966501.

It is a super-2 number, since 2×105669768² = 22332199738347648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105669761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25971 + ... + 29762.

It is an arithmetic number, because the mean of its divisors is an integer number (8360100).

Almost surely, 2^105669768 is an apocalyptic number.

It is an amenable number.

105669768 is an abundant number, since it is smaller than the sum of its proper divisors (161853432).

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

105669768 is a wasteful number, since it uses less digits than its factorization.

105669768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55821 (or 55817 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 105669768 is about 10279.5801470683. The cubic root of 105669768 is about 472.7703712813.

The spelling of 105669768 in words is "one hundred five million, six hundred sixty-nine thousand, seven hundred sixty-eight".