105526047 has 16 divisors (see below), whose sum is σ = 160167168. Its totient is φ = 61174080.

The previous prime is 105526007. The next prime is 105526063. The reversal of 105526047 is 740625501.

It is not a de Polignac number, because 105526047 - 2¹² = 105521951 is a prime.

It is a super-3 number, since 3×105526047³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105526007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68758 + ... + 70275.

It is an arithmetic number, because the mean of its divisors is an integer number (10010448).

Almost surely, 2^105526047 is an apocalyptic number.

105526047 is a deficient number, since it is larger than the sum of its proper divisors (54641121).

105526047 is a wasteful number, since it uses less digits than its factorization.

105526047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139070.

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 105526047 is about 10272.5871619568. The cubic root of 105526047 is about 472.5559363805. Note that the first 3 decimals are identical.

The spelling of 105526047 in words is "one hundred five million, five hundred twenty-six thousand, forty-seven".