105489200 has 30 divisors (see below), whose sum is σ = 253438764. Its totient is φ = 42195520.

The previous prime is 105489193. The next prime is 105489217. The reversal of 105489200 is 2984501.

It is a super-2 number, since 2×105489200² = 22255942633280000, which contains 22 as substring.

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, 131462 + ... + 132261.

Almost surely, 2^105489200 is an apocalyptic number.

105489200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105489200 is an abundant number, since it is smaller than the sum of its proper divisors (147949564).

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

105489200 is a wasteful number, since it uses less digits than its factorization.

105489200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263741 (or 263730 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 105489200 is about 10270.7935428573. The cubic root of 105489200 is about 472.5009284903.

The spelling of 105489200 in words is "one hundred five million, four hundred eighty-nine thousand, two hundred".