105233100 has 72 divisors (see below), whose sum is σ = 347977728. Its totient is φ = 24052800.

The previous prime is 105233087. The next prime is 105233137. The reversal of 105233100 is 1332501.

It is a happy number.

It is a super-2 number, since 2×105233100² = 22148010671220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105233100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22956 + ... + 27155.

It is an arithmetic number, because the mean of its divisors is an integer number (4833024).

Almost surely, 2^105233100 is an apocalyptic number.

105233100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105233100 is an abundant number, since it is smaller than the sum of its proper divisors (242744628).

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

105233100 is a wasteful number, since it uses less digits than its factorization.

105233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50135 (or 50128 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 105233100 is about 10258.3185756731. The cubic root of 105233100 is about 472.1182493634.

Adding to 105233100 its reverse (1332501), we get a palindrome (106565601).

The spelling of 105233100 in words is "one hundred five million, two hundred thirty-three thousand, one hundred".