107364820 has 48 divisors (see below), whose sum is σ = 240932160. Its totient is φ = 40068864.

The previous prime is 107364799. The next prime is 107364821. The reversal of 107364820 is 28463701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107364821) 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, 23352 + ... + 27568.

It is an arithmetic number, because the mean of its divisors is an integer number (5019420).

Almost surely, 2^107364820 is an apocalyptic number.

107364820 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 107364820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120466080).

107364820 is an abundant number, since it is smaller than the sum of its proper divisors (133567340).

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

107364820 is a wasteful number, since it uses less digits than its factorization.

107364820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 107364820 is about 10361.6996675256. The cubic root of 107364820 is about 475.2848817393.

The spelling of 107364820 in words is "one hundred seven million, three hundred sixty-four thousand, eight hundred twenty".