105933312 has 160 divisors (see below), whose sum is σ = 320812800. Its totient is φ = 34504704.

The previous prime is 105933301. The next prime is 105933313. The reversal of 105933312 is 213339501.

It is a happy number.

It is a super-2 number, since 2×105933312² = 22443733182578688, 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 (105933313) 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, 1092048 + ... + 1092144.

It is an arithmetic number, because the mean of its divisors is an integer number (2005080).

Almost surely, 2^105933312 is an apocalyptic number.

105933312 is a gapful number since it is divisible by the number (12) 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 105933312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160406400).

105933312 is an abundant number, since it is smaller than the sum of its proper divisors (214879488).

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

105933312 is an frugal number, since it uses more digits than its factorization.

105933312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 105933312 is about 10292.3909758617. The cubic root of 105933312 is about 473.1630801210.

The spelling of 105933312 in words is "one hundred five million, nine hundred thirty-three thousand, three hundred twelve".