107923104 has 72 divisors (see below), whose sum is σ = 318296160. Its totient is φ = 35971776.

The previous prime is 107923103. The next prime is 107923147. The reversal of 107923104 is 401329701.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (107923103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 837 + ... + 14715.

It is an arithmetic number, because the mean of its divisors is an integer number (4420780).

Almost surely, 2^107923104 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 107923104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159148080).

107923104 is an abundant number, since it is smaller than the sum of its proper divisors (210373056).

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

107923104 is an equidigital number, since it uses as much as digits as its factorization.

107923104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13904 (or 13884 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107923104 is about 10388.6045261142. The cubic root of 107923104 is about 476.1072658008.

The spelling of 107923104 in words is "one hundred seven million, nine hundred twenty-three thousand, one hundred four".