10086742224 has 120 divisors (see below), whose sum is σ = 30522858912. Its totient is φ = 3091104000.

The previous prime is 10086742219. The next prime is 10086742231. The reversal of 10086742224 is 42224768001.

10086742224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459139 + ... + 480605.

Almost surely, 2^10086742224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10086742224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15261429456).

10086742224 is an abundant number, since it is smaller than the sum of its proper divisors (20436116688).

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

10086742224 is a wasteful number, since it uses less digits than its factorization.

10086742224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21745 (or 21736 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 10086742224 in words is "ten billion, eighty-six million, seven hundred forty-two thousand, two hundred twenty-four".