105868089600 has 1296 divisors, whose sum is σ = 445271500800. Its totient is φ = 21680455680.

The previous prime is 105868089599. The next prime is 105868089617. The reversal of 105868089600 is 6980868501.

It is a super-2 number, since 2×105868089600² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) 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 143 ways as a sum of consecutive naturals, for example, 1340102361 + ... + 1340102439.

Almost surely, 2^105868089600 is an apocalyptic number.

105868089600 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 105868089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222635750400).

105868089600 is an abundant number, since it is smaller than the sum of its proper divisors (339403411200).

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

105868089600 is a wasteful number, since it uses less digits than its factorization.

105868089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 105868089600 in words is "one hundred five billion, eight hundred sixty-eight million, eighty-nine thousand, six hundred".