105026823 has 24 divisors (see below), whose sum is σ = 165868560. Its totient is φ = 63509760.

The previous prime is 105026819. The next prime is 105026843. The reversal of 105026823 is 328620501.

It is not a de Polignac number, because 105026823 - 2² = 105026819 is a prime.

It is a super-2 number, since 2×105026823² = 22061267098946658, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105026843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57813 + ... + 59601.

It is an arithmetic number, because the mean of its divisors is an integer number (6911190).

Almost surely, 2^105026823 is an apocalyptic number.

105026823 is a deficient number, since it is larger than the sum of its proper divisors (60841737).

105026823 is a wasteful number, since it uses less digits than its factorization.

105026823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105026823 is about 10248.2595107657. The cubic root of 105026823 is about 471.8095668989.

The spelling of 105026823 in words is "one hundred five million, twenty-six thousand, eight hundred twenty-three".