106922117043840 has 256 divisors, whose sum is σ = 389554637783040. Its totient is φ = 24436038144000.

The previous prime is 106922117043787. The next prime is 106922117043877. The reversal of 106922117043840 is 48340711229601.

It is a super-2 number, since 2×106922117043840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 106922117043840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99607585 + ... + 100675295.

It is an arithmetic number, because the mean of its divisors is an integer number (1521697803840).

Almost surely, 2^{106922117043840} is an apocalyptic number.

106922117043840 is a gapful number since it is divisible by the number (10) 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 106922117043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194777318891520).

106922117043840 is an abundant number, since it is smaller than the sum of its proper divisors (282632520739200).

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

106922117043840 is a wasteful number, since it uses less digits than its factorization.

106922117043840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075191 (or 1075179 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 106922117043840 in words is "one hundred six trillion, nine hundred twenty-two billion, one hundred seventeen million, forty-three thousand, eight hundred forty".