106853870304 has 480 divisors, whose sum is σ = 340735659264. Its totient is φ = 32763709440.

The previous prime is 106853870287. The next prime is 106853870339. The reversal of 106853870304 is 403078358601.

106853870304 is a `hidden beast` number, since 10 + 6 + 8 + 538 + 70 + 30 + 4 = 666.

It is a super-2 number, since 2×106853870304² (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 106853870304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 187134339 + ... + 187134909.

Almost surely, 2^106853870304 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 106853870304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170367829632).

106853870304 is an abundant number, since it is smaller than the sum of its proper divisors (233881788960).

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

106853870304 is a wasteful number, since it uses less digits than its factorization.

106853870304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 106853870304 in words is "one hundred six billion, eight hundred fifty-three million, eight hundred seventy thousand, three hundred four".