106846445888 has 336 divisors, whose sum is σ = 281174342400. Its totient is φ = 39818096640.

The previous prime is 106846445851. The next prime is 106846445929. The reversal of 106846445888 is 888544648601.

It is a super-2 number, since 2×106846445888² (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 106846445888.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 209914178 + ... + 209914686.

It is an arithmetic number, because the mean of its divisors is an integer number (836828400).

Almost surely, 2^106846445888 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 106846445888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140587171200).

106846445888 is an abundant number, since it is smaller than the sum of its proper divisors (174327896512).

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

106846445888 is a wasteful number, since it uses less digits than its factorization.

106846445888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 62.

The spelling of 106846445888 in words is "one hundred six billion, eight hundred forty-six million, four hundred forty-five thousand, eight hundred eighty-eight".