105313230 has 128 divisors (see below), whose sum is σ = 312076800. Its totient is φ = 25056000.

The previous prime is 105313223. The next prime is 105313291. The reversal of 105313230 is 32313501.

It is a super-2 number, since 2×105313230² = 22181752826065800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174930 + ... + 175530.

It is an arithmetic number, because the mean of its divisors is an integer number (2438100).

Almost surely, 2^105313230 is an apocalyptic number.

105313230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105313230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156038400).

105313230 is an abundant number, since it is smaller than the sum of its proper divisors (206763570).

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

105313230 is a wasteful number, since it uses less digits than its factorization.

105313230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 105313230 is about 10262.2234432895. The cubic root of 105313230 is about 472.2380508240.

Adding to 105313230 its reverse (32313501), we get a palindrome (137626731).

The spelling of 105313230 in words is "one hundred five million, three hundred thirteen thousand, two hundred thirty".