106382666560 has 56 divisors (see below), whose sum is σ = 253459975680. Its totient is φ = 42530179584.

The previous prime is 106382666557. The next prime is 106382666581. The reversal of 106382666560 is 65666283601.

It is a super-2 number, since 2×106382666560² (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 7 ways as a sum of consecutive naturals, for example, 512817 + ... + 689743.

Almost surely, 2^106382666560 is an apocalyptic number.

106382666560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106382666560 is an abundant number, since it is smaller than the sum of its proper divisors (147077309120).

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

106382666560 is a wasteful number, since it uses less digits than its factorization.

106382666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178823 (or 178813 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 106382666560 in words is "one hundred six billion, three hundred eighty-two million, six hundred sixty-six thousand, five hundred sixty".