105952320 has 112 divisors (see below), whose sum is σ = 373806720. Its totient is φ = 28251648.

The previous prime is 105952309. The next prime is 105952331. The reversal of 105952320 is 23259501.

It is an interprime number because it is at equal distance from previous prime (105952309) and next prime (105952331).

It is a super-2 number, since 2×105952320² = 22451788226764800, which contains 22 as substring.

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

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, 2509 + ... + 14771.

It is an arithmetic number, because the mean of its divisors is an integer number (3337560).

Almost surely, 2^105952320 is an apocalyptic number.

105952320 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 105952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186903360).

105952320 is an abundant number, since it is smaller than the sum of its proper divisors (267854400).

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

105952320 is a wasteful number, since it uses less digits than its factorization.

105952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12289 (or 12273 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 105952320 is about 10293.3143350429. The cubic root of 105952320 is about 473.1913788868.

The spelling of 105952320 in words is "one hundred five million, nine hundred fifty-two thousand, three hundred twenty".