108368100 has 81 divisors (see below), whose sum is σ = 340655497. Its totient is φ = 28814880.

The previous prime is 108368089. The next prime is 108368107. The reversal of 108368100 is 1863801.

The square root of 108368100 is 10410.

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

It can be written as a sum of positive squares in only one way, i.e., 39012516 + 69355584 = 6246^2 + 8328^2 .

It is a super-2 number, since 2×108368100² = 23487290195220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108368107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 312127 + ... + 312473.

Almost surely, 2^108368100 is an apocalyptic number.

108368100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108368100 is the 10410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108368100

108368100 is an abundant number, since it is smaller than the sum of its proper divisors (232287397).

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

108368100 is a wasteful number, since it uses less digits than its factorization.

108368100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The cubic root of 108368100 is about 476.7607412630.

The spelling of 108368100 in words is "one hundred eight million, three hundred sixty-eight thousand, one hundred".