106928091844992 has 384 divisors, whose sum is σ = 343414617062400. Its totient is φ = 31657203179520.

The previous prime is 106928091844967. The next prime is 106928091845009. The reversal of 106928091844992 is 299448190829601.

106928091844992 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 2 + 8 + 0 + 91 + 8 + 449 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106928091844992² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 106928091844992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338729533 + ... + 339045059.

It is an arithmetic number, because the mean of its divisors is an integer number (894308898600).

Almost surely, 2^{106928091844992} is an apocalyptic number.

106928091844992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106928091844992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171707308531200).

106928091844992 is an abundant number, since it is smaller than the sum of its proper divisors (236486525217408).

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

106928091844992 is a wasteful number, since it uses less digits than its factorization.

106928091844992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316174 (or 316159 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 106928091844992 in words is "one hundred six trillion, nine hundred twenty-eight billion, ninety-one million, eight hundred forty-four thousand, nine hundred ninety-two".