106482880 has 84 divisors (see below), whose sum is σ = 295003728. Its totient is φ = 36503040.

The previous prime is 106482841. The next prime is 106482911. The reversal of 106482880 is 88284601.

It is a super-2 number, since 2×106482880² = 22677207466188800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 12285 + ... + 19075.

Almost surely, 2^106482880 is an apocalyptic number.

106482880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147501864).

106482880 is an abundant number, since it is smaller than the sum of its proper divisors (188520848).

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

106482880 is an equidigital number, since it uses as much as digits as its factorization.

106482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6822 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 106482880 is about 10319.0542202277. The cubic root of 106482880 is about 473.9799050274.

The spelling of 106482880 in words is "one hundred six million, four hundred eighty-two thousand, eight hundred eighty".