20145430100 has 108 divisors (see below), whose sum is σ = 46782685404. Its totient is φ = 7503805440.

The previous prime is 20145430099. The next prime is 20145430103. The reversal of 20145430100 is 103454102.

It can be written as a sum of positive squares in 6 ways, for example, as 1548107716 + 18597322384 = 39346^2 + 136372^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20145430103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18034742 + ... + 18035858.

It is an arithmetic number, because the mean of its divisors is an integer number (433173013).

Almost surely, 2^20145430100 is an apocalyptic number.

20145430100 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 20145430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23391342702).

20145430100 is an abundant number, since it is smaller than the sum of its proper divisors (26637255304).

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

20145430100 is a wasteful number, since it uses less digits than its factorization.

20145430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 20145430100 its reverse (103454102), we get a palindrome (20248884202).

The spelling of 20145430100 in words is "twenty billion, one hundred forty-five million, four hundred thirty thousand, one hundred".