105230600 has 72 divisors (see below), whose sum is σ = 251575230. Its totient is φ = 40934400.

The previous prime is 105230581. The next prime is 105230611. The reversal of 105230600 is 6032501.

It can be written as a sum of positive squares in 9 ways, for example, as 40170244 + 65060356 = 6338^2 + 8066^2 .

It is a super-2 number, since 2×105230600² = 22146958352720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 336044 + ... + 336356.

Almost surely, 2^105230600 is an apocalyptic number.

105230600 is a gapful number since it is divisible by the number (10) 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 105230600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125787615).

105230600 is an abundant number, since it is smaller than the sum of its proper divisors (146344630).

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

105230600 is a wasteful number, since it uses less digits than its factorization.

105230600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 105230600 is about 10258.1967226214. The cubic root of 105230600 is about 472.1145106634.

The spelling of 105230600 in words is "one hundred five million, two hundred thirty thousand, six hundred".