106839126144 has 256 divisors, whose sum is σ = 326367360000. Its totient is φ = 34371993600.

The previous prime is 106839126133. The next prime is 106839126179. The reversal of 106839126144 is 441621938601.

106839126144 is a `hidden beast` number, since 10 + 6 + 8 + 3 + 9 + 12 + 614 + 4 = 666.

It is a super-2 number, since 2×106839126144² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106839126144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48102954 + ... + 48105174.

It is an arithmetic number, because the mean of its divisors is an integer number (1274872500).

Almost surely, 2^106839126144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106839126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163183680000).

106839126144 is an abundant number, since it is smaller than the sum of its proper divisors (219528233856).

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

106839126144 is a wasteful number, since it uses less digits than its factorization.

106839126144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 106839126144 in words is "one hundred six billion, eight hundred thirty-nine million, one hundred twenty-six thousand, one hundred forty-four".