105666666656 has 48 divisors (see below), whose sum is σ = 209767174848. Its totient is φ = 52393036800.

The previous prime is 105666666649. The next prime is 105666666661. The reversal of 105666666656 is 656666666501.

It is a super-2 number, since 2×105666666656² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105666666595 and 105666666604.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6502061 + ... + 6518291.

It is an arithmetic number, because the mean of its divisors is an integer number (4370149476).

Almost surely, 2^105666666656 is an apocalyptic number.

105666666656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105666666656 is a deficient number, since it is larger than the sum of its proper divisors (104100508192).

105666666656 is a wasteful number, since it uses less digits than its factorization.

105666666656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17925 (or 17917 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 59.

The spelling of 105666666656 in words is "one hundred five billion, six hundred sixty-six million, six hundred sixty-six thousand, six hundred fifty-six".