10235042000 has 80 divisors (see below), whose sum is σ = 25215542352. Its totient is φ = 4016729600.

The previous prime is 10235041979. The next prime is 10235042017. The reversal of 10235042000 is 24053201.

It can be written as a sum of positive squares in 8 ways, for example, as 4372383376 + 5862658624 = 66124^2 + 76568^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10235042000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57722 + ... + 154278.

Almost surely, 2^10235042000 is an apocalyptic number.

10235042000 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 10235042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12607771176).

10235042000 is an abundant number, since it is smaller than the sum of its proper divisors (14980500352).

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

10235042000 is an equidigital number, since it uses as much as digits as its factorization.

10235042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96633 (or 96617 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 10235042000 its reverse (24053201), we get a palindrome (10259095201).

The spelling of 10235042000 in words is "ten billion, two hundred thirty-five million, forty-two thousand".