10204002144 has 144 divisors (see below), whose sum is σ = 33273047808. Its totient is φ = 2905756416.

The previous prime is 10204002143. The next prime is 10204002167. The reversal of 10204002144 is 44120040201.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204002143) 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, 610669 + ... + 627155.

It is an arithmetic number, because the mean of its divisors is an integer number (231062832).

Almost surely, 2^10204002144 is an apocalyptic number.

10204002144 is a gapful number since it is divisible by the number (14) 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 10204002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16636523904).

10204002144 is an abundant number, since it is smaller than the sum of its proper divisors (23069045664).

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

10204002144 is a wasteful number, since it uses less digits than its factorization.

10204002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16817 (or 16806 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10204002144 its reverse (44120040201), we get a palindrome (54324042345).

The spelling of 10204002144 in words is "ten billion, two hundred four million, two thousand, one hundred forty-four".