101865752873 has 8 divisors (see below), whose sum is σ = 102204069192. Its totient is φ = 101527543936.

The previous prime is 101865752839. The next prime is 101865752881. The reversal of 101865752873 is 378257568101.

It can be written as a sum of positive squares in 4 ways, for example, as 14105837824 + 87759915049 = 118768^2 + 296243^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101865752873 - 2³⁰ = 100792011049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101865752803) 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 7 ways as a sum of consecutive naturals, for example, 2169461 + ... + 2215917.

It is an arithmetic number, because the mean of its divisors is an integer number (12775508649).

Almost surely, 2^101865752873 is an apocalyptic number.

It is an amenable number.

101865752873 is a deficient number, since it is larger than the sum of its proper divisors (338316319).

101865752873 is an equidigital number, since it uses as much as digits as its factorization.

101865752873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53691.

The product of its (nonzero) digits is 2822400, while the sum is 53.

The spelling of 101865752873 in words is "one hundred one billion, eight hundred sixty-five million, seven hundred fifty-two thousand, eight hundred seventy-three".