105102072685 has 8 divisors (see below), whose sum is σ = 127539594360. Its totient is φ = 83136920064.

The previous prime is 105102072631. The next prime is 105102072701. The reversal of 105102072685 is 586270201501.

It can be written as a sum of positive squares in 4 ways, for example, as 1811183364 + 103290889321 = 42558^2 + 321389^2 .

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 105102072685 - 2⁷ = 105102072557 is a prime.

It is a super-2 number, since 2×105102072685² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 118091772 + ... + 118092661.

It is an arithmetic number, because the mean of its divisors is an integer number (15942449295).

Almost surely, 2^105102072685 is an apocalyptic number.

It is an amenable number.

105102072685 is a deficient number, since it is larger than the sum of its proper divisors (22437521675).

105102072685 is an equidigital number, since it uses as much as digits as its factorization.

105102072685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236184527.

The product of its (nonzero) digits is 33600, while the sum is 37.

The spelling of 105102072685 in words is "one hundred five billion, one hundred two million, seventy-two thousand, six hundred eighty-five".