105188868000 has 336 divisors, whose sum is σ = 387507052296. Its totient is φ = 28049587200.

The previous prime is 105188867951. The next prime is 105188868017. The reversal of 105188868000 is 868881501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 56505093264 + 48683774736 = 237708^2 + 220644^2 .

It is a super-2 number, since 2×105188868000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2897964 + ... + 2934036.

Almost surely, 2^105188868000 is an apocalyptic number.

105188868000 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 105188868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193753526148).

105188868000 is an abundant number, since it is smaller than the sum of its proper divisors (282318184296).

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

105188868000 is an frugal number, since it uses more digits than its factorization.

105188868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36116 (or 36083 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 105188868000 in words is "one hundred five billion, one hundred eighty-eight million, eight hundred sixty-eight thousand".