20144310100 has 72 divisors (see below), whose sum is σ = 44250292800. Its totient is φ = 7959045120.

The previous prime is 20144310097. The next prime is 20144310101. The reversal of 20144310100 is 101344102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20144310101) 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, 5808567 + ... + 5812033.

It is an arithmetic number, because the mean of its divisors is an integer number (614587400).

Almost surely, 2^20144310100 is an apocalyptic number.

20144310100 is a gapful number since it is divisible by the number (20) 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 20144310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22125146400).

20144310100 is an abundant number, since it is smaller than the sum of its proper divisors (24105982700).

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

20144310100 is a wasteful number, since it uses less digits than its factorization.

20144310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20144310100 its reverse (101344102), we get a palindrome (20245654202).

The spelling of 20144310100 in words is "twenty billion, one hundred forty-four million, three hundred ten thousand, one hundred".