107378640 has 120 divisors (see below), whose sum is σ = 362554920. Its totient is φ = 28480512.

The previous prime is 107378639. The next prime is 107378641. The reversal of 107378640 is 46873701.

107378640 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 7 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (107378639) and next prime (107378641).

It can be written as a sum of positive squares in 4 ways, for example, as 51667344 + 55711296 = 7188^2 + 7464^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107378595 and 107378604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107378641) 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, 210706 + ... + 211214.

It is an arithmetic number, because the mean of its divisors is an integer number (3021291).

Almost surely, 2^107378640 is an apocalyptic number.

107378640 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 107378640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181277460).

107378640 is an abundant number, since it is smaller than the sum of its proper divisors (255176280).

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

107378640 is a wasteful number, since it uses less digits than its factorization.

107378640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 107378640 is about 10362.3665250752. The cubic root of 107378640 is about 475.3052737549.

The spelling of 107378640 in words is "one hundred seven million, three hundred seventy-eight thousand, six hundred forty".