105666064996 has 12 divisors (see below), whose sum is σ = 184942075500. Its totient is φ = 52825472000.

The previous prime is 105666064883. The next prime is 105666065023. The reversal of 105666064996 is 699460666501.

It can be written as a sum of positive squares in 2 ways, for example, as 23084548096 + 82581516900 = 151936^2 + 287370^2 .

It is a super-2 number, since 2×105666064996² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105666064996.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1858621 + ... + 1914628.

It is an arithmetic number, because the mean of its divisors is an integer number (15411839625).

Almost surely, 2^105666064996 is an apocalyptic number.

It is an amenable number.

105666064996 is a deficient number, since it is larger than the sum of its proper divisors (79276010504).

105666064996 is a wasteful number, since it uses less digits than its factorization.

105666064996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780254 (or 3780252 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 58.

The spelling of 105666064996 in words is "one hundred five billion, six hundred sixty-six million, sixty-four thousand, nine hundred ninety-six".