107876340 has 288 divisors, whose sum is σ = 400404480. Its totient is φ = 23950080.

The previous prime is 107876309. The next prime is 107876369. The reversal of 107876340 is 43678701.

107876340 is a `hidden beast` number, since 10 + 7 + 8 + 7 + 634 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 107876295 and 107876304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 849357 + ... + 849483.

Almost surely, 2^107876340 is an apocalyptic number.

107876340 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 107876340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200202240).

107876340 is an abundant number, since it is smaller than the sum of its proper divisors (292528140).

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

107876340 is a wasteful number, since it uses less digits than its factorization.

107876340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

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

The square root of 107876340 is about 10386.3535468421. The cubic root of 107876340 is about 476.0384887551.

The spelling of 107876340 in words is "one hundred seven million, eight hundred seventy-six thousand, three hundred forty".