107073280 has 72 divisors (see below), whose sum is σ = 267698592. Its totient is φ = 40955904.

The previous prime is 107073277. The next prime is 107073283. The reversal of 107073280 is 82370701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107073277) and next prime (107073283).

It is a super-2 number, since 2×107073280² = 22929374579916800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107073283) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 27622 + ... + 31258.

It is an arithmetic number, because the mean of its divisors is an integer number (3718036).

Almost surely, 2^107073280 is an apocalyptic number.

107073280 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 107073280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133849296).

107073280 is an abundant number, since it is smaller than the sum of its proper divisors (160625312).

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

107073280 is an equidigital number, since it uses as much as digits as its factorization.

107073280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 107073280 is about 10347.6219490277. The cubic root of 107073280 is about 474.8542932590.

The spelling of 107073280 in words is "one hundred seven million, seventy-three thousand, two hundred eighty".