10104142503000 has 1024 divisors, whose sum is σ = 40689995673600. Its totient is φ = 2030037811200.

The previous prime is 10104142502989. The next prime is 10104142503061. The reversal of 10104142503000 is 30524140101.

It is a super-2 number, since 2×10104142503000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 577932259 + ... + 577949741.

It is an arithmetic number, because the mean of its divisors is an integer number (39736323900).

Almost surely, 2^{10104142503000} is an apocalyptic number.

10104142503000 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 10104142503000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20344997836800).

10104142503000 is an abundant number, since it is smaller than the sum of its proper divisors (30585853170600).

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

10104142503000 is a wasteful number, since it uses less digits than its factorization.

10104142503000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17629 (or 17615 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10104142503000 its reverse (30524140101), we get a palindrome (10134666643101).

The spelling of 10104142503000 in words is "ten trillion, one hundred four billion, one hundred forty-two million, five hundred three thousand".