106162744655682 has 64 divisors (see below), whose sum is σ = 277161477909120. Its totient is φ = 29695872628800.

The previous prime is 106162744655663. The next prime is 106162744655711. The reversal of 106162744655682 is 286556447261601.

106162744655682 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 6 + 2 + 7 + 4 + 4 + 65 + 568 + 2 = 666.

It is a super-2 number, since 2×106162744655682² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6874036869 + ... + 6874052312.

It is an arithmetic number, because the mean of its divisors is an integer number (4330648092330).

Almost surely, 2^{106162744655682} is an apocalyptic number.

106162744655682 is an abundant number, since it is smaller than the sum of its proper divisors (170998733253438).

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

106162744655682 is a wasteful number, since it uses less digits than its factorization.

106162744655682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13748089216 (or 13748089210 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 106162744655682 in words is "one hundred six trillion, one hundred sixty-two billion, seven hundred forty-four million, six hundred fifty-five thousand, six hundred eighty-two".