105309232 has 80 divisors (see below), whose sum is σ = 246016000. Its totient is φ = 43606080.

The previous prime is 105309221. The next prime is 105309233. The reversal of 105309232 is 232903501.

It is a happy number.

It is a super-2 number, since 2×105309232² = 22180068688859648, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 105309197 and 105309206.

It is not an unprimeable number, because it can be changed into a prime (105309233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169819 + ... + 170437.

It is an arithmetic number, because the mean of its divisors is an integer number (3075200).

Almost surely, 2^105309232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105309232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123008000).

105309232 is an abundant number, since it is smaller than the sum of its proper divisors (140706768).

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

105309232 is an equidigital number, since it uses as much as digits as its factorization.

105309232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 105309232 is about 10262.0286493461. The cubic root of 105309232 is about 472.2320748999.

The spelling of 105309232 in words is "one hundred five million, three hundred nine thousand, two hundred thirty-two".