105536673 has 24 divisors (see below), whose sum is σ = 173534400. Its totient is φ = 61179360.

The previous prime is 105536647. The next prime is 105536677. The reversal of 105536673 is 376635501.

It is a happy number.

It is not a de Polignac number, because 105536673 - 2¹⁰ = 105535649 is a prime.

It is a super-2 number, since 2×105536673² = 22275978695817858, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105536677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20898 + ... + 25451.

It is an arithmetic number, because the mean of its divisors is an integer number (7230600).

Almost surely, 2^105536673 is an apocalyptic number.

It is an amenable number.

105536673 is a deficient number, since it is larger than the sum of its proper divisors (67997727).

105536673 is a wasteful number, since it uses less digits than its factorization.

105536673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46389 (or 46386 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 105536673 is about 10273.1043506819. The cubic root of 105536673 is about 472.5717972698.

The spelling of 105536673 in words is "one hundred five million, five hundred thirty-six thousand, six hundred seventy-three".