106575280 has 40 divisors (see below), whose sum is σ = 283187232. Its totient is φ = 36539904.

The previous prime is 106575263. The next prime is 106575283. The reversal of 106575280 is 82575601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106575280² = 22716580614156800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106575283) 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, 94597 + ... + 95716.

Almost surely, 2^106575280 is an apocalyptic number.

106575280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106575280 is an abundant number, since it is smaller than the sum of its proper divisors (176611952).

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

106575280 is a wasteful number, since it uses less digits than its factorization.

106575280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190333 (or 190327 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 106575280 is about 10323.5304038880. The cubic root of 106575280 is about 474.1169633084.

The spelling of 106575280 in words is "one hundred six million, five hundred seventy-five thousand, two hundred eighty".