107002320 has 80 divisors (see below), whose sum is σ = 333436992. Its totient is φ = 28385280.

The previous prime is 107002307. The next prime is 107002327. The reversal of 107002320 is 23200701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×107002320² = 22898992970764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 107002320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107002327) 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, 49584 + ... + 51696.

Almost surely, 2^107002320 is an apocalyptic number.

107002320 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 107002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166718496).

107002320 is an abundant number, since it is smaller than the sum of its proper divisors (226434672).

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

107002320 is a wasteful number, since it uses less digits than its factorization.

107002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 107002320 is about 10344.1925736135. The cubic root of 107002320 is about 474.7493710132.

The spelling of 107002320 in words is "one hundred seven million, two thousand, three hundred twenty".