107681904 has 120 divisors (see below), whose sum is σ = 331614192. Its totient is φ = 32348160.

The previous prime is 107681891. The next prime is 107681909. The reversal of 107681904 is 409186701.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107681909) 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, 248472 + ... + 248904.

Almost surely, 2^107681904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107681904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165807096).

107681904 is an abundant number, since it is smaller than the sum of its proper divisors (223932288).

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

107681904 is a wasteful number, since it uses less digits than its factorization.

107681904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 107681904 is about 10376.9891587107. The cubic root of 107681904 is about 475.7523132919.

The spelling of 107681904 in words is "one hundred seven million, six hundred eighty-one thousand, nine hundred four".