10242507000 has 128 divisors (see below), whose sum is σ = 34861881600. Its totient is φ = 2483024000.

The previous prime is 10242506999. The next prime is 10242507001. The reversal of 10242507000 is 70524201.

It is an interprime number because it is at equal distance from previous prime (10242506999) and next prime (10242507001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242507001) 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 31 ways as a sum of consecutive naturals, for example, 122190 + ... + 188189.

It is an arithmetic number, because the mean of its divisors is an integer number (272358450).

Almost surely, 2^10242507000 is an apocalyptic number.

10242507000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242507000 is an abundant number, since it is smaller than the sum of its proper divisors (24619374600).

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

10242507000 is a wasteful number, since it uses less digits than its factorization.

10242507000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310414 (or 310400 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The spelling of 10242507000 in words is "ten billion, two hundred forty-two million, five hundred seven thousand".