105323512 has 64 divisors (see below), whose sum is σ = 233164800. Its totient is φ = 43666560.

The previous prime is 105323501. The next prime is 105323521. The reversal of 105323512 is 215323501.

It is a super-2 number, since 2×105323512² = 22186084360028288, 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 15 ways as a sum of consecutive naturals, for example, 459814 + ... + 460042.

It is an arithmetic number, because the mean of its divisors is an integer number (3643200).

Almost surely, 2^105323512 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 105323512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116582400).

105323512 is an abundant number, since it is smaller than the sum of its proper divisors (127841288).

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

105323512 is a wasteful number, since it uses less digits than its factorization.

105323512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 105323512 is about 10262.7243946235. The cubic root of 105323512 is about 472.2534189268.

The spelling of 105323512 in words is "one hundred five million, three hundred twenty-three thousand, five hundred twelve".