100106108900 has 72 divisors (see below), whose sum is σ = 248955315840. Its totient is φ = 34226403840.

The previous prime is 100106108899. The next prime is 100106108909. The reversal of 100106108900 is 9801601001.

It is a self number, because there is not a number n which added to its sum of digits gives 100106108900.

It is not an unprimeable number, because it can be changed into a prime (100106108909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52124 + ... + 450476.

It is an arithmetic number, because the mean of its divisors is an integer number (3457712720).

Almost surely, 2^100106108900 is an apocalyptic number.

100106108900 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 100106108900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124477657920).

100106108900 is an abundant number, since it is smaller than the sum of its proper divisors (148849206940).

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

100106108900 is a wasteful number, since it uses less digits than its factorization.

100106108900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398733 (or 398726 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

Adding to 100106108900 its reverse (9801601001), we get a palindrome (109907709901).

The spelling of 100106108900 in words is "one hundred billion, one hundred six million, one hundred eight thousand, nine hundred".