107835282 has 48 divisors (see below), whose sum is σ = 242812440. Its totient is φ = 34546176.

The previous prime is 107835223. The next prime is 107835283. The reversal of 107835282 is 282538701.

It can be written as a sum of positive squares in 4 ways, for example, as 45441081 + 62394201 = 6741^2 + 7899^2 .

It is not an unprimeable number, because it can be changed into a prime (107835283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175608 + ... + 176220.

Almost surely, 2^107835282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107835282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121406220).

107835282 is an abundant number, since it is smaller than the sum of its proper divisors (134977158).

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

107835282 is a wasteful number, since it uses less digits than its factorization.

107835282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 107835282 is about 10384.3768229008. The cubic root of 107835282 is about 475.9780872854.

The spelling of 107835282 in words is "one hundred seven million, eight hundred thirty-five thousand, two hundred eighty-two".