106212116592 has 80 divisors (see below), whose sum is σ = 307665204000. Its totient is φ = 35079215616.

The previous prime is 106212116587. The next prime is 106212116609. The reversal of 106212116592 is 295611212601.

106212116592 is a `hidden beast` number, since 1 + 0 + 62 + 1 + 2 + 1 + 1 + 6 + 592 = 666.

It is a super-2 number, since 2×106212116592² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080717 + ... + 1174892.

It is an arithmetic number, because the mean of its divisors is an integer number (3845815050).

Almost surely, 2^106212116592 is an apocalyptic number.

106212116592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106212116592 is an abundant number, since it is smaller than the sum of its proper divisors (201453087408).

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

106212116592 is a wasteful number, since it uses less digits than its factorization.

106212116592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255735 (or 2255723 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 106212116592 in words is "one hundred six billion, two hundred twelve million, one hundred sixteen thousand, five hundred ninety-two".