105777664692 has 48 divisors (see below), whose sum is σ = 291172933632. Its totient is φ = 29247279840.

The previous prime is 105777664679. The next prime is 105777664703. The reversal of 105777664692 is 296466777501.

It is a super-2 number, since 2×105777664692² (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 15 ways as a sum of consecutive naturals, for example, 20308008 + ... + 20313215.

It is an arithmetic number, because the mean of its divisors is an integer number (6066102784).

Almost surely, 2^105777664692 is an apocalyptic number.

105777664692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105777664692 is an abundant number, since it is smaller than the sum of its proper divisors (185395268940).

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

105777664692 is a wasteful number, since it uses less digits than its factorization.

105777664692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40621268 (or 40621266 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 60.

The spelling of 105777664692 in words is "one hundred five billion, seven hundred seventy-seven million, six hundred sixty-four thousand, six hundred ninety-two".