105888000 has 144 divisors (see below), whose sum is σ = 352025856. Its totient is φ = 28211200.

The previous prime is 105887993. The next prime is 105888023. The reversal of 105888000 is 888501.

It is a super-2 number, since 2×105888000² = 22424537088000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 95449 + ... + 96551.

It is an arithmetic number, because the mean of its divisors is an integer number (2444624).

Almost surely, 2^105888000 is an apocalyptic number.

105888000 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 105888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176012928).

105888000 is an abundant number, since it is smaller than the sum of its proper divisors (246137856).

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

105888000 is an equidigital number, since it uses as much as digits as its factorization.

105888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 105888000 is about 10290.1895026282. The cubic root of 105888000 is about 473.0956067810.

The spelling of 105888000 in words is "one hundred five million, eight hundred eighty-eight thousand".