106555866592 has 96 divisors (see below), whose sum is σ = 242662392000. Its totient is φ = 45113131008.

The previous prime is 106555866511. The next prime is 106555866607. The reversal of 106555866592 is 295668555601.

It is a super-2 number, since 2×106555866592² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34946284 + ... + 34949332.

It is an arithmetic number, because the mean of its divisors is an integer number (2527733250).

Almost surely, 2^106555866592 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 106555866592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121331196000).

106555866592 is an abundant number, since it is smaller than the sum of its proper divisors (136106525408).

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

106555866592 is a wasteful number, since it uses less digits than its factorization.

106555866592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 58.

The spelling of 106555866592 in words is "one hundred six billion, five hundred fifty-five million, eight hundred sixty-six thousand, five hundred ninety-two".