105823552 has 112 divisors (see below), whose sum is σ = 236280960. Its totient is φ = 46835712.

The previous prime is 105823537. The next prime is 105823561. The reversal of 105823552 is 255328501.

It is a super-2 number, since 2×105823552² = 22397248315793408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1579423 + ... + 1579489.

Almost surely, 2^105823552 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 105823552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118140480).

105823552 is an abundant number, since it is smaller than the sum of its proper divisors (130457408).

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

105823552 is a wasteful number, since it uses less digits than its factorization.

105823552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 105823552 is about 10287.0574995963. The cubic root of 105823552 is about 472.9996051768. Note that the first 3 decimals are identical.

The spelling of 105823552 in words is "one hundred five million, eight hundred twenty-three thousand, five hundred fifty-two".