107083240 has 64 divisors (see below), whose sum is σ = 276696000. Its totient is φ = 36887040.

The previous prime is 107083213. The next prime is 107083241. The reversal of 107083240 is 42380701.

It is a super-2 number, since 2×107083240² = 22933640577795200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107083241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1956 + ... + 14764.

It is an arithmetic number, because the mean of its divisors is an integer number (4323375).

Almost surely, 2^107083240 is an apocalyptic number.

107083240 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 107083240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138348000).

107083240 is an abundant number, since it is smaller than the sum of its proper divisors (169612760).

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

107083240 is a wasteful number, since it uses less digits than its factorization.

107083240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12850 (or 12846 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 107083240 is about 10348.1032078348. The cubic root of 107083240 is about 474.8690165156.

The spelling of 107083240 in words is "one hundred seven million, eighty-three thousand, two hundred forty".