106685180712 has 96 divisors (see below), whose sum is σ = 315264530880. Its totient is φ = 32322862080.

The previous prime is 106685180699. The next prime is 106685180713. The reversal of 106685180712 is 217081586601.

106685180712 is a `hidden beast` number, since 1 + 0 + 6 + 68 + 518 + 0 + 71 + 2 = 666.

It is a super-2 number, since 2×106685180712² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106685180713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6269688 + ... + 6286680.

It is an arithmetic number, because the mean of its divisors is an integer number (3284005530).

Almost surely, 2^106685180712 is an apocalyptic number.

106685180712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106685180712 is an abundant number, since it is smaller than the sum of its proper divisors (208579350168).

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

106685180712 is a wasteful number, since it uses less digits than its factorization.

106685180712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24943 (or 24936 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 106685180712 in words is "one hundred six billion, six hundred eighty-five million, one hundred eighty thousand, seven hundred twelve".