107382280 has 48 divisors (see below), whose sum is σ = 247801860. Its totient is φ = 41879040.

The previous prime is 107382277. The next prime is 107382287. The reversal of 107382280 is 82283701.

It can be written as a sum of positive squares in 6 ways, for example, as 11236 + 107371044 = 106^2 + 10362^2 .

It is not an unprimeable number, because it can be changed into a prime (107382287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66442 + ... + 68038.

Almost surely, 2^107382280 is an apocalyptic number.

107382280 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 107382280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123900930).

107382280 is an abundant number, since it is smaller than the sum of its proper divisors (140419580).

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

107382280 is a wasteful number, since it uses less digits than its factorization.

107382280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 107382280 is about 10362.5421591422. The cubic root of 107382280 is about 475.3106444433.

The spelling of 107382280 in words is "one hundred seven million, three hundred eighty-two thousand, two hundred eighty".