107690240 has 216 divisors, whose sum is σ = 320863032. Its totient is φ = 34406400.

The previous prime is 107690237. The next prime is 107690263. The reversal of 107690240 is 42096701.

It can be written as a sum of positive squares in 4 ways, for example, as 51380224 + 56310016 = 7168^2 + 7504^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1066190 + ... + 1066290.

It is an arithmetic number, because the mean of its divisors is an integer number (1485477).

Almost surely, 2^107690240 is an apocalyptic number.

107690240 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 107690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160431516).

107690240 is an abundant number, since it is smaller than the sum of its proper divisors (213172792).

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

107690240 is a wasteful number, since it uses less digits than its factorization.

107690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 107690240 is about 10377.3908088691. The cubic root of 107690240 is about 475.7645894769.

The spelling of 107690240 in words is "one hundred seven million, six hundred ninety thousand, two hundred forty".