105253687 has 16 divisors (see below), whose sum is σ = 131904000. Its totient is φ = 81591840.

The previous prime is 105253651. The next prime is 105253693. The reversal of 105253687 is 786352501.

It is not a de Polignac number, because 105253687 - 2¹¹ = 105251639 is a prime.

It is a super-2 number, since 2×105253687² = 22156677254187938, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105253607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11889 + ... + 18757.

It is an arithmetic number, because the mean of its divisors is an integer number (8244000).

Almost surely, 2^105253687 is an apocalyptic number.

105253687 is a deficient number, since it is larger than the sum of its proper divisors (26650313).

105253687 is a wasteful number, since it uses less digits than its factorization.

105253687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086.

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 105253687 is about 10259.3219561529. The cubic root of 105253687 is about 472.1490345589.

The spelling of 105253687 in words is "one hundred five million, two hundred fifty-three thousand, six hundred eighty-seven".