10104144000 has 256 divisors, whose sum is σ = 33709253760. Its totient is φ = 2677248000.

The previous prime is 10104143993. The next prime is 10104144041. The reversal of 10104144000 is 44140101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8687419 + ... + 8688581.

Almost surely, 2^10104144000 is an apocalyptic number.

10104144000 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 10104144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16854626880).

10104144000 is an abundant number, since it is smaller than the sum of its proper divisors (23605109760).

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

10104144000 is a wasteful number, since it uses less digits than its factorization.

10104144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10104144000 its reverse (44140101), we get a palindrome (10148284101).

The spelling of 10104144000 in words is "ten billion, one hundred four million, one hundred forty-four thousand".