105233800 has 48 divisors (see below), whose sum is σ = 279624960. Its totient is φ = 36079680.

The previous prime is 105233789. The next prime is 105233801. The reversal of 105233800 is 8332501.

It is a super-2 number, since 2×105233800² = 22148305324880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105233801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36184 + ... + 38983.

It is an arithmetic number, because the mean of its divisors is an integer number (5825520).

Almost surely, 2^105233800 is an apocalyptic number.

105233800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105233800 is an abundant number, since it is smaller than the sum of its proper divisors (174391160).

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

105233800 is a wasteful number, since it uses less digits than its factorization.

105233800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75190 (or 75181 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 105233800 is about 10258.3526942682. The cubic root of 105233800 is about 472.1192961888.

Subtracting from 105233800 its sum of digits (22), we obtain a triangular number (105233778 = T₁₄₅₀₇).

The spelling of 105233800 in words is "one hundred five million, two hundred thirty-three thousand, eight hundred".