107364 has 24 divisors (see below), whose sum is σ = 262080. Its totient is φ = 34144.

The previous prime is 107357. The next prime is 107377. The reversal of 107364 is 463701.

107364 = 57² + 58² + ... + 79².

It is a super-3 number, since 3×107364³ = 3712763662333632, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107364.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107364.

It is an unprimeable number.

107364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82 + ... + 470.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2¹⁰⁷³⁶⁴ 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 107364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040).

107364 is an abundant number, since it is smaller than the sum of its proper divisors (154716).

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

107364 is a wasteful number, since it uses less digits than its factorization.

107364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 107364 is about 327.6644625223. The cubic root of 107364 is about 47.5283671738.

The spelling of 107364 in words is "one hundred seven thousand, three hundred sixty-four".