105863200 has 36 divisors (see below), whose sum is σ = 258440490. Its totient is φ = 42344960.

The previous prime is 105863161. The next prime is 105863221. The reversal of 105863200 is 2368501.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 68359824 + 37503376 = 8268^2 + 6124^2 .

It is a super-2 number, since 2×105863200² = 22414034228480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65365 + ... + 66964.

Almost surely, 2^105863200 is an apocalyptic number.

105863200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105863200 is an abundant number, since it is smaller than the sum of its proper divisors (152577290).

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

105863200 is a wasteful number, since it uses less digits than its factorization.

105863200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132349 (or 132336 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 105863200 is about 10288.9844008046. The cubic root of 105863200 is about 473.0586693656.

The spelling of 105863200 in words is "one hundred five million, eight hundred sixty-three thousand, two hundred".