105221823 has 32 divisors (see below), whose sum is σ = 170449920. Its totient is φ = 56363520.

The previous prime is 105221819. The next prime is 105221827. The reversal of 105221823 is 328122501.

It is an interprime number because it is at equal distance from previous prime (105221819) and next prime (105221827).

It is not a de Polignac number, because 105221823 - 2² = 105221819 is a prime.

It is a super-2 number, since 2×105221823² = 22143264070886658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105221793 and 105221802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105221827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127753 + ... + 128573.

It is an arithmetic number, because the mean of its divisors is an integer number (5326560).

Almost surely, 2^105221823 is an apocalyptic number.

105221823 is a deficient number, since it is larger than the sum of its proper divisors (65228097).

105221823 is a wasteful number, since it uses less digits than its factorization.

105221823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 105221823 is about 10257.7689094656. The cubic root of 105221823 is about 472.1013843666.

The spelling of 105221823 in words is "one hundred five million, two hundred twenty-one thousand, eight hundred twenty-three".