105233310 has 128 divisors (see below), whose sum is σ = 345461760. Its totient is φ = 22197888.

The previous prime is 105233309. The next prime is 105233327. The reversal of 105233310 is 13332501.

It is a super-2 number, since 2×105233310² = 22148099067112200, 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, 22429 + ... + 26711.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 2^105233310 is an apocalyptic number.

105233310 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 105233310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

105233310 is an abundant number, since it is smaller than the sum of its proper divisors (240228450).

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

105233310 is a wasteful number, since it uses less digits than its factorization.

105233310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4319 (or 4313 counting only the distinct ones).

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

The square root of 105233310 is about 10258.3288112636. The cubic root of 105233310 is about 472.1185634115.

Adding to 105233310 its reverse (13332501), we get a palindrome (118565811).

The spelling of 105233310 in words is "one hundred five million, two hundred thirty-three thousand, three hundred ten".