10305290736 has 120 divisors (see below), whose sum is σ = 31088999760. Its totient is φ = 3167797248.

The previous prime is 10305290731. The next prime is 10305290753. The reversal of 10305290736 is 63709250301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10305290736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305290731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2635695 + ... + 2639601.

It is an arithmetic number, because the mean of its divisors is an integer number (259074998).

Almost surely, 2^10305290736 is an apocalyptic number.

10305290736 is a gapful number since it is divisible by the number (16) 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 10305290736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15544499880).

10305290736 is an abundant number, since it is smaller than the sum of its proper divisors (20783709024).

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

10305290736 is a wasteful number, since it uses less digits than its factorization.

10305290736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5343 (or 5334 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 10305290736 in words is "ten billion, three hundred five million, two hundred ninety thousand, seven hundred thirty-six".