106882009344 has 216 divisors, whose sum is σ = 338208841152. Its totient is φ = 32193269760.

The previous prime is 106882009327. The next prime is 106882009361. The reversal of 106882009344 is 443900288601.

It is a happy number.

106882009344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (106882009327) and next prime (106882009361).

It is a super-2 number, since 2×106882009344² (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 106882009344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4219822 + ... + 4245074.

It is an arithmetic number, because the mean of its divisors is an integer number (1565781672).

Almost surely, 2^106882009344 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 106882009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169104420576).

106882009344 is an abundant number, since it is smaller than the sum of its proper divisors (231326831808).

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

106882009344 is a wasteful number, since it uses less digits than its factorization.

106882009344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25453 (or 25436 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 106882009344 in words is "one hundred six billion, eight hundred eighty-two million, nine thousand, three hundred forty-four".