10742290000 has 100 divisors (see below), whose sum is σ = 28009124836. Its totient is φ = 3966336000.

The previous prime is 10742289991. The next prime is 10742290003. The reversal of 10742290000 is 9224701.

It can be written as a sum of positive squares in 10 ways, for example, as 9340835904 + 1401454096 = 96648^2 + 37436^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742290003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88684 + ... + 171316.

Almost surely, 2^10742290000 is an apocalyptic number.

10742290000 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 10742290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14004562418).

10742290000 is an abundant number, since it is smaller than the sum of its proper divisors (17266834836).

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

10742290000 is an equidigital number, since it uses as much as digits as its factorization.

10742290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82674 (or 82653 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The spelling of 10742290000 in words is "ten billion, seven hundred forty-two million, two hundred ninety thousand".