108682308900 has 729 divisors, whose sum is σ = 399617689107. Its totient is φ = 25635139200.

The previous prime is 108682308887. The next prime is 108682308913. The reversal of 108682308900 is 9803286801.

The square root of 108682308900 is 329670.

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

It is an interprime number because it is at equal distance from previous prime (108682308887) and next prime (108682308913).

It can be written as a sum of positive squares in 4 ways, for example, as 10317277476 + 98365031424 = 101574^2 + 313632^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2937359682 + ... + 2937359718.

Almost surely, 2^108682308900 is an apocalyptic number.

108682308900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108682308900 is the 329670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108682308900

108682308900 is an abundant number, since it is smaller than the sum of its proper divisors (290935380207).

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

108682308900 is an equidigital number, since it uses as much as digits as its factorization.

108682308900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 108682308900 in words is "one hundred eight billion, six hundred eighty-two million, three hundred eight thousand, nine hundred".