10306235472 has 80 divisors (see below), whose sum is σ = 28816905600. Its totient is φ = 3155175936.

The previous prime is 10306235461. The next prime is 10306235497. The reversal of 10306235472 is 27453260301.

It is a super-2 number, since 2×10306235472² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82678 + ... + 165674.

It is an arithmetic number, because the mean of its divisors is an integer number (360211320).

Almost surely, 2^10306235472 is an apocalyptic number.

10306235472 is a gapful number since it is divisible by the number (12) 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 10306235472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14408452800).

10306235472 is an abundant number, since it is smaller than the sum of its proper divisors (18510670128).

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

10306235472 is a wasteful number, since it uses less digits than its factorization.

10306235472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83220 (or 83214 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

Adding to 10306235472 its reverse (27453260301), we get a palindrome (37759495773).

The spelling of 10306235472 in words is "ten billion, three hundred six million, two hundred thirty-five thousand, four hundred seventy-two".