105358336 has 44 divisors (see below), whose sum is σ = 217473280. Its totient is φ = 50964480.

The previous prime is 105358313. The next prime is 105358369. The reversal of 105358336 is 633853501.

It is a super-2 number, since 2×105358336² = 22200757929377792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30085 + ... + 33403.

Almost surely, 2^105358336 is an apocalyptic number.

105358336 is a gapful number since it is divisible by the number (16) 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 105358336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108736640).

105358336 is an abundant number, since it is smaller than the sum of its proper divisors (112114944).

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

105358336 is an equidigital number, since it uses as much as digits as its factorization.

105358336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 105358336 is about 10264.4208799133. The cubic root of 105358336 is about 472.3054615668.

The spelling of 105358336 in words is "one hundred five million, three hundred fifty-eight thousand, three hundred thirty-six".