105793352 has 48 divisors (see below), whose sum is σ = 233972460. Its totient is φ = 44706816.

The previous prime is 105793343. The next prime is 105793367. The reversal of 105793352 is 253397501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 101324356 + 4468996 = 10066^2 + 2114^2 .

It is a super-2 number, since 2×105793352² = 22384466654791808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26768 + ... + 30464.

Almost surely, 2^105793352 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 105793352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116986230).

105793352 is an abundant number, since it is smaller than the sum of its proper divisors (128179108).

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

105793352 is a wasteful number, since it uses less digits than its factorization.

105793352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 35.

The square root of 105793352 is about 10285.5895309895. The cubic root of 105793352 is about 472.9546059087.

It can be divided in two parts, 10579 and 3352, that added together give a palindrome (13931).

The spelling of 105793352 in words is "one hundred five million, seven hundred ninety-three thousand, three hundred fifty-two".