105823296 has 84 divisors (see below), whose sum is σ = 310790844. Its totient is φ = 34406400.

The previous prime is 105823271. The next prime is 105823303. The reversal of 105823296 is 692328501.

It can be written as a sum of positive squares in 2 ways, for example, as 39237696 + 66585600 = 6264^2 + 8160^2 .

It is a super-2 number, since 2×105823296² = 22397139952607232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105823296.

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, 21376 + ... + 25856.

It is an arithmetic number, because the mean of its divisors is an integer number (3699891).

Almost surely, 2^105823296 is an apocalyptic number.

105823296 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 105823296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155395422).

105823296 is an abundant number, since it is smaller than the sum of its proper divisors (204967548).

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

105823296 is a wasteful number, since it uses less digits than its factorization.

105823296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 105823296 is about 10287.0450567692. The cubic root of 105823296 is about 472.9992237620. Note that the first 3 decimals are identical.

The spelling of 105823296 in words is "one hundred five million, eight hundred twenty-three thousand, two hundred ninety-six".