105889800 has 96 divisors (see below), whose sum is σ = 338906880. Its totient is φ = 27321600.

The previous prime is 105889799. The next prime is 105889801. The reversal of 105889800 is 8988501.

It is an interprime number because it is at equal distance from previous prime (105889799) and next prime (105889801).

It is a super-2 number, since 2×105889800² = 22425299488080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105889801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15754 + ... + 21446.

It is an arithmetic number, because the mean of its divisors is an integer number (3530280).

Almost surely, 2^105889800 is an apocalyptic number.

105889800 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 105889800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169453440).

105889800 is an abundant number, since it is smaller than the sum of its proper divisors (233017080).

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

105889800 is a wasteful number, since it uses less digits than its factorization.

105889800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5743 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 105889800 is about 10290.2769642027. The cubic root of 105889800 is about 473.0982874980.

The spelling of 105889800 in words is "one hundred five million, eight hundred eighty-nine thousand, eight hundred".