105557247 has 12 divisors (see below), whose sum is σ = 156190944. Its totient is φ = 68654880.

The previous prime is 105557239. The next prime is 105557279. The reversal of 105557247 is 742755501.

It is not a de Polignac number, because 105557247 - 2³ = 105557239 is a prime.

It is a super-2 number, since 2×105557247² = 22284664788438018, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105557047) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 142663 + ... + 143400.

It is an arithmetic number, because the mean of its divisors is an integer number (13015912).

Almost surely, 2^105557247 is an apocalyptic number.

105557247 is a deficient number, since it is larger than the sum of its proper divisors (50633697).

105557247 is a wasteful number, since it uses less digits than its factorization.

105557247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286110 (or 286107 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The square root of 105557247 is about 10274.1056545083. The cubic root of 105557247 is about 472.6025040063.

The spelling of 105557247 in words is "one hundred five million, five hundred fifty-seven thousand, two hundred forty-seven".