107673216 has 128 divisors (see below), whose sum is σ = 335180160. Its totient is φ = 29982720.

The previous prime is 107673127. The next prime is 107673217. The reversal of 107673216 is 612376701.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (107673217) 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 15 ways as a sum of consecutive naturals, for example, 109720 + ... + 110696.

It is an arithmetic number, because the mean of its divisors is an integer number (2618595).

Almost surely, 2^107673216 is an apocalyptic number.

107673216 is a gapful number since it is divisible by the number (16) 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 107673216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167590080).

107673216 is an abundant number, since it is smaller than the sum of its proper divisors (227506944).

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

107673216 is an equidigital number, since it uses as much as digits as its factorization.

107673216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 107673216 is about 10376.5705317316. The cubic root of 107673216 is about 475.7395180523.

The spelling of 107673216 in words is "one hundred seven million, six hundred seventy-three thousand, two hundred sixteen".