10143306000 has 360 divisors, whose sum is σ = 36835492824. Its totient is φ = 2701382400.

The previous prime is 10143305993. The next prime is 10143306001. The reversal of 10143306000 is 60334101.

It can be written as a sum of positive squares in 4 ways, for example, as 2146654224 + 7996651776 = 46332^2 + 89424^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 (10143306001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13121614 + ... + 13122386.

Almost surely, 2^10143306000 is an apocalyptic number.

10143306000 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 10143306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18417746412).

10143306000 is an abundant number, since it is smaller than the sum of its proper divisors (26692186824).

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

10143306000 is an frugal number, since it uses more digits than its factorization.

10143306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The spelling of 10143306000 in words is "ten billion, one hundred forty-three million, three hundred six thousand".