107321760000 has 2025 divisors, whose sum is σ = 503713104741. Its totient is φ = 22643712000.

The previous prime is 107321759953. The next prime is 107321760001. The reversal of 107321760000 is 67123701.

The square root of 107321760000 is 327600.

It is a perfect power (a square), and thus also a powerful number.

107321760000 is a `hidden beast` number, since 10 + 7 + 32 + 17 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 106004941056 + 1316818944 = 325584^2 + 36288^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (107321760001) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 8255519994 + ... + 8255520006.

Almost surely, 2^107321760000 is an apocalyptic number.

107321760000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107321760000 is the 327600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107321760000

107321760000 is an abundant number, since it is smaller than the sum of its proper divisors (396391344741).

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

107321760000 is an frugal number, since it uses more digits than its factorization.

107321760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

Multiplying 107321760000 by its product of nonzero digits (1764), we get a square (189315584640000 = 13759200²).

107321760000 divided by its product of nonzero digits (1764) gives a square (60840000 = 7800²).

Adding to 107321760000 its reverse (67123701), we get a palindrome (107388883701).

The spelling of 107321760000 in words is "one hundred seven billion, three hundred twenty-one million, seven hundred sixty thousand".