10144324100 has 18 divisors (see below), whose sum is σ = 22013183514. Its totient is φ = 4057729600.

The previous prime is 10144324093. The next prime is 10144324109. The reversal of 10144324100 is 142344101.

It can be written as a sum of positive squares in 3 ways, for example, as 43270084 + 10101054016 = 6578^2 + 100504^2 .

It is a super-2 number, since 2×10144324100² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10144324109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50721521 + ... + 50721720.

Almost surely, 2^10144324100 is an apocalyptic number.

10144324100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144324100 is an abundant number, since it is smaller than the sum of its proper divisors (11868859414).

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

10144324100 is a wasteful number, since it uses less digits than its factorization.

10144324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101443255 (or 101443248 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10144324100 its reverse (142344101), we get a palindrome (10286668201).

The spelling of 10144324100 in words is "ten billion, one hundred forty-four million, three hundred twenty-four thousand, one hundred".