105280332 has 24 divisors (see below), whose sum is σ = 245851200. Its totient is φ = 35065296.

The previous prime is 105280321. The next prime is 105280339. The reversal of 105280332 is 233082501.

It is a super-2 number, since 2×105280332² = 22167896612060448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105280339) 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 7 ways as a sum of consecutive naturals, for example, 16719 + ... + 22137.

It is an arithmetic number, because the mean of its divisors is an integer number (10243800).

Almost surely, 2^105280332 is an apocalyptic number.

105280332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105280332 is an abundant number, since it is smaller than the sum of its proper divisors (140570868).

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

105280332 is a wasteful number, since it uses less digits than its factorization.

105280332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7045 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105280332 is about 10260.6204490762. The cubic root of 105280332 is about 472.1888727503.

The spelling of 105280332 in words is "one hundred five million, two hundred eighty thousand, three hundred thirty-two".