10287724643097 has 16 divisors (see below), whose sum is σ = 14964160536000. Its totient is φ = 6234902374400.

The previous prime is 10287724643087. The next prime is 10287724643129. The reversal of 10287724643097 is 79034642778201.

It is a cyclic number.

It is not a de Polignac number, because 10287724643097 - 2⁶ = 10287724643033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10287724643097.

It is not an unprimeable number, because it can be changed into a prime (10287724643017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531397 + ... + 4567037.

It is an arithmetic number, because the mean of its divisors is an integer number (935260033500).

Almost surely, 2^{10287724643097} is an apocalyptic number.

It is an amenable number.

10287724643097 is a deficient number, since it is larger than the sum of its proper divisors (4676435892903).

10287724643097 is a wasteful number, since it uses less digits than its factorization.

10287724643097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112904.

The product of its (nonzero) digits is 28449792, while the sum is 60.

The spelling of 10287724643097 in words is "ten trillion, two hundred eighty-seven billion, seven hundred twenty-four million, six hundred forty-three thousand, ninety-seven".