105088320 has 112 divisors (see below), whose sum is σ = 370758720. Its totient is φ = 28021248.

The previous prime is 105088283. The next prime is 105088327. The reversal of 105088320 is 23880501.

It is a happy number.

It is a super-2 number, since 2×105088320² = 22087110000844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105088327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2559 + ... + 14721.

Almost surely, 2^105088320 is an apocalyptic number.

105088320 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 105088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185379360).

105088320 is an abundant number, since it is smaller than the sum of its proper divisors (265670400).

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

105088320 is a wasteful number, since it uses less digits than its factorization.

105088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12189 (or 12173 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 105088320 is about 10251.2594348207. The cubic root of 105088320 is about 471.9016361147.

The spelling of 105088320 in words is "one hundred five million, eighty-eight thousand, three hundred twenty".