10285610724 has 27 divisors (see below), whose sum is σ = 26001276483. Its totient is φ = 3428334072.

The previous prime is 10285610719. The next prime is 10285610767. The reversal of 10285610724 is 42701658201.

The square root of 10285610724 is 101418.

It is a perfect power (a square), and thus also a powerful number.

10285610724 is a `hidden beast` number, since 1 + 0 + 28 + 561 + 0 + 72 + 4 = 666.

10285610724 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 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 8 ways as a sum of consecutive naturals, for example, 600057 + ... + 616959.

Almost surely, 2^10285610724 is an apocalyptic number.

10285610724 is the 101418-th square number.

It is an amenable number.

10285610724 is an abundant number, since it is smaller than the sum of its proper divisors (15715665759).

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

10285610724 is an frugal number, since it uses more digits than its factorization.

10285610724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33816 (or 16908 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 10285610724 by its sum of digits (36), we get a square (370281986064 = 608508²).

10285610724 divided by its sum of digits (36) gives a square (285711409 = 16903²).

The spelling of 10285610724 in words is "ten billion, two hundred eighty-five million, six hundred ten thousand, seven hundred twenty-four".