100110225800 has 108 divisors (see below), whose sum is σ = 252184393485. Its totient is φ = 36942297600.

The previous prime is 100110225797. The next prime is 100110225827. The reversal of 100110225800 is 8522011001.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 7851023236 + 92259202564 = 88606^2 + 303742^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=223730.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58168940 + ... + 58170660.

Almost surely, 2^100110225800 is an apocalyptic number.

100110225800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110225800

100110225800 is an abundant number, since it is smaller than the sum of its proper divisors (152074167685).

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

100110225800 is an equidigital number, since it uses as much as digits as its factorization.

100110225800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 100110225800 its reverse (8522011001), we get a palindrome (108632236801).

The spelling of 100110225800 in words is "one hundred billion, one hundred ten million, two hundred twenty-five thousand, eight hundred".