108893400100 has 27 divisors (see below), whose sum is σ = 236305839217. Its totient is φ = 43556040080.

The previous prime is 108893400073. The next prime is 108893400101. The reversal of 108893400100 is 1004398801.

It is a happy number.

The square root of 108893400100 is 329990.

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

108893400100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 39201624036 + 69691776064 = 197994^2 + 263992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108893400101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3283401 + ... + 3316399.

Almost surely, 2^108893400100 is an apocalyptic number.

108893400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108893400100 is the 329990-th square number.

It is an amenable number.

108893400100 is an abundant number, since it is smaller than the sum of its proper divisors (127412439117).

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

108893400100 is an frugal number, since it uses more digits than its factorization.

108893400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66012 (or 33006 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

Adding to 108893400100 its reverse (1004398801), we get a palindrome (109897798901).

The spelling of 108893400100 in words is "one hundred eight billion, eight hundred ninety-three million, four hundred thousand, one hundred".