107682120 has 384 divisors, whose sum is σ = 456019200. Its totient is φ = 21399552.

The previous prime is 107682119. The next prime is 107682163. The reversal of 107682120 is 21286701.

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, 622354 + ... + 622526.

It is an arithmetic number, because the mean of its divisors is an integer number (1187550).

Almost surely, 2^107682120 is an apocalyptic number.

107682120 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 107682120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228009600).

107682120 is an abundant number, since it is smaller than the sum of its proper divisors (348337080).

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

107682120 is a wasteful number, since it uses less digits than its factorization.

107682120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 107682120 is about 10376.9995663486. Note that the first 3 decimals coincide. The cubic root of 107682120 is about 475.7526313968.

The spelling of 107682120 in words is "one hundred seven million, six hundred eighty-two thousand, one hundred twenty".