105274800 has 90 divisors (see below), whose sum is σ = 365345292. Its totient is φ = 28072320.

The previous prime is 105274777. The next prime is 105274817. The reversal of 105274800 is 8472501.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×105274800² = 22165567030080000, which contains 22 as substring.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 11022 + ... + 18221.

Almost surely, 2^105274800 is an apocalyptic number.

105274800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105274800 is an abundant number, since it is smaller than the sum of its proper divisors (260070492).

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

105274800 is a wasteful number, since it uses less digits than its factorization.

105274800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29267 (or 29253 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 105274800 is about 10260.3508711934. The cubic root of 105274800 is about 472.1806021501.

The spelling of 105274800 in words is "one hundred five million, two hundred seventy-four thousand, eight hundred".