10724890106304 has 126 divisors (see below), whose sum is σ = 33789651623000. Its totient is φ = 3249966677760.

The previous prime is 10724890106239. The next prime is 10724890106341. The reversal of 10724890106304 is 40360109842701.

10724890106304 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 4 + 8 + 9 + 0 + 1 + 0 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10724890106304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 76870804 + ... + 77010195.

Almost surely, 2^{10724890106304} is an apocalyptic number.

It is an amenable number.

10724890106304 is an abundant number, since it is smaller than the sum of its proper divisors (23064761516696).

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

10724890106304 is a wasteful number, since it uses less digits than its factorization.

10724890106304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153881039 (or 153881015 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10724890106304 in words is "ten trillion, seven hundred twenty-four billion, eight hundred ninety million, one hundred six thousand, three hundred four".