105123447 has 64 divisors (see below), whose sum is σ = 192729600. Its totient is φ = 55676160.

The previous prime is 105123407. The next prime is 105123481. The reversal of 105123447 is 744321501.

It is not a de Polignac number, because 105123447 - 2²⁰ = 104074871 is a prime.

It is a super-2 number, since 2×105123447² = 22101878218323618, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 105123447.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105123407) 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 63 ways as a sum of consecutive naturals, for example, 72643 + ... + 74075.

It is an arithmetic number, because the mean of its divisors is an integer number (3011400).

Almost surely, 2^105123447 is an apocalyptic number.

105123447 is a deficient number, since it is larger than the sum of its proper divisors (87606153).

105123447 is a wasteful number, since it uses less digits than its factorization.

105123447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 105123447 is about 10252.9725933507. The cubic root of 105123447 is about 471.9542098043.

Adding to 105123447 its reverse (744321501), we get a palindrome (849444948).

It can be divided in two parts, 105123 and 447, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 105123447 in words is "one hundred five million, one hundred twenty-three thousand, four hundred forty-seven".