10144100 has 54 divisors (see below), whose sum is σ = 23314914. Its totient is φ = 3830400.

The previous prime is 10144093. The next prime is 10144103. The reversal of 10144100 is 144101.

It can be written as a sum of positive squares in 3 ways, for example, as 1132096 + 9012004 = 1064^2 + 3002^2 .

It is not an unprimeable number, because it can be changed into a prime (10144103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35960 + ... + 36240.

Almost surely, 2^10144100 is an apocalyptic number.

10144100 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 10144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11657457).

10144100 is an abundant number, since it is smaller than the sum of its proper divisors (13170814).

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

10144100 is a wasteful number, since it uses less digits than its factorization.

10144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10144100 is about 3184.9803767056. The cubic root of 10144100 is about 216.4733845002.

Adding to 10144100 its reverse (144101), we get a palindrome (10288201).

Subtracting from 10144100 its reverse (144101), we obtain a palindrome (9999999).

The spelling of 10144100 in words is "ten million, one hundred forty-four thousand, one hundred".