106813280 has 48 divisors (see below), whose sum is σ = 288398880. Its totient is φ = 36621312.

The previous prime is 106813271. The next prime is 106813297. The reversal of 106813280 is 82318601.

It is a super-2 number, since 2×106813280² = 22818153568716800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46565 + ... + 48804.

It is an arithmetic number, because the mean of its divisors is an integer number (6008310).

Almost surely, 2^106813280 is an apocalyptic number.

106813280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106813280 is an abundant number, since it is smaller than the sum of its proper divisors (181585600).

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

106813280 is an equidigital number, since it uses as much as digits as its factorization.

106813280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95391 (or 95383 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 106813280 is about 10335.0510400288. The cubic root of 106813280 is about 474.4696277810.

The spelling of 106813280 in words is "one hundred six million, eight hundred thirteen thousand, two hundred eighty".