108175210000 has 675 divisors, whose sum is σ = 325867155537. Its totient is φ = 34731840000.

The previous prime is 108175209953. The next prime is 108175210009. The reversal of 108175210000 is 12571801.

The square root of 108175210000 is 328900.

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

It can be written as a sum of positive squares in 7 ways, for example, as 106847919376 + 1327290624 = 326876^2 + 36432^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (108175210009) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4703269989 + ... + 4703270011.

Almost surely, 2^108175210000 is an apocalyptic number.

108175210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108175210000 is the 328900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108175210000

108175210000 is an abundant number, since it is smaller than the sum of its proper divisors (217691945537).

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

108175210000 is a wasteful number, since it uses less digits than its factorization.

108175210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 25.

Multiplying 108175210000 by its sum of digits (25), we get a square (2704380250000 = 1644500²).

108175210000 divided by its sum of digits (25) gives a square (4327008400 = 65780²).

Adding to 108175210000 its reverse (12571801), we get a palindrome (108187781801).

The spelling of 108175210000 in words is "one hundred eight billion, one hundred seventy-five million, two hundred ten thousand".