108234420100 has 81 divisors (see below), whose sum is σ = 237489009583. Its totient is φ = 42816074560.

The previous prime is 108234420083. The next prime is 108234420103. The reversal of 108234420100 is 1024432801.

The square root of 108234420100 is 328990.

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

It can be written as a sum of positive squares in 4 ways, for example, as 24958312324 + 83276107776 = 157982^2 + 288576^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108234420103) 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 26 ways as a sum of consecutive naturals, for example, 549413202 + ... + 549413398.

Almost surely, 2^108234420100 is an apocalyptic number.

108234420100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108234420100 is the 328990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108234420100

108234420100 is an abundant number, since it is smaller than the sum of its proper divisors (129254589483).

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

108234420100 is an equidigital number, since it uses as much as digits as its factorization.

108234420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Multiplying 108234420100 by its sum of digits (25), we get a square (2705860502500 = 1644950²).

108234420100 divided by its sum of digits (25) gives a square (4329376804 = 65798²).

Adding to 108234420100 its reverse (1024432801), we get a palindrome (109258852901).

The spelling of 108234420100 in words is "one hundred eight billion, two hundred thirty-four million, four hundred twenty thousand, one hundred".