105409792 has 72 divisors (see below), whose sum is σ = 227484936. Its totient is φ = 48562176.

The previous prime is 105409789. The next prime is 105409793. The reversal of 105409792 is 297904501.

It can be written as a sum of positive squares in 4 ways, for example, as 60466176 + 44943616 = 7776^2 + 6704^2 .

It is a super-2 number, since 2×105409792² = 22222448498966528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105409793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230428 + ... + 230884.

It is an arithmetic number, because the mean of its divisors is an integer number (3159513).

Almost surely, 2^105409792 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 105409792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742468).

105409792 is an abundant number, since it is smaller than the sum of its proper divisors (122075144).

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

105409792 is an equidigital number, since it uses as much as digits as its factorization.

105409792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 105409792 is about 10266.9270962640. The cubic root of 105409792 is about 472.3823388708.

The spelling of 105409792 in words is "one hundred five million, four hundred nine thousand, seven hundred ninety-two".