10932145224 has 256 divisors, whose sum is σ = 37029242880. Its totient is φ = 2597253120.

The previous prime is 10932145187. The next prime is 10932145229. The reversal of 10932145224 is 42254123901.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10932145229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2712699 + ... + 2716725.

It is an arithmetic number, because the mean of its divisors is an integer number (144645480).

Almost surely, 2^10932145224 is an apocalyptic number.

10932145224 is a gapful number since it is divisible by the number (14) 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 10932145224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18514621440).

10932145224 is an abundant number, since it is smaller than the sum of its proper divisors (26097097656).

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

10932145224 is a wasteful number, since it uses less digits than its factorization.

10932145224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 10932145224 in words is "ten billion, nine hundred thirty-two million, one hundred forty-five thousand, two hundred twenty-four".