10102330240 has 192 divisors, whose sum is σ = 25879142160. Its totient is φ = 3770155008.

The previous prime is 10102330201. The next prime is 10102330253. The reversal of 10102330240 is 4203320101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 23 ways as a sum of consecutive naturals, for example, 35697139 + ... + 35697421.

Almost surely, 2^10102330240 is an apocalyptic number.

10102330240 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 10102330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12939571080).

10102330240 is an abundant number, since it is smaller than the sum of its proper divisors (15776811920).

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

10102330240 is a wasteful number, since it uses less digits than its factorization.

10102330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10102330240 its reverse (4203320101), we get a palindrome (14305650341).

The spelling of 10102330240 in words is "ten billion, one hundred two million, three hundred thirty thousand, two hundred forty".