107823072 has 96 divisors (see below), whose sum is σ = 325188864. Its totient is φ = 30643200.

The previous prime is 107823019. The next prime is 107823077. The reversal of 107823072 is 270328701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107823077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188547 + ... + 189117.

It is an arithmetic number, because the mean of its divisors is an integer number (3387384).

Almost surely, 2^107823072 is an apocalyptic number.

107823072 is a gapful number since it is divisible by the number (12) 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 107823072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162594432).

107823072 is an abundant number, since it is smaller than the sum of its proper divisors (217365792).

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

107823072 is a wasteful number, since it uses less digits than its factorization.

107823072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 107823072 is about 10383.7889038636. The cubic root of 107823072 is about 475.9601218858.

The spelling of 107823072 in words is "one hundred seven million, eight hundred twenty-three thousand, seventy-two".