10144304100 has 216 divisors, whose sum is σ = 37919656320. Its totient is φ = 2217853440.

The previous prime is 10144304069. The next prime is 10144304101. The reversal of 10144304100 is 140344101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10144304101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109896 + ... + 179904.

Almost surely, 2^10144304100 is an apocalyptic number.

10144304100 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 10144304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18959828160).

10144304100 is an abundant number, since it is smaller than the sum of its proper divisors (27775352220).

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

10144304100 is a wasteful number, since it uses less digits than its factorization.

10144304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70059 (or 70049 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10144304100 its reverse (140344101), we get a palindrome (10284648201).

The spelling of 10144304100 in words is "ten billion, one hundred forty-four million, three hundred four thousand, one hundred".