105050223 has 32 divisors (see below), whose sum is σ = 163699200. Its totient is φ = 66451968.

The previous prime is 105050219. The next prime is 105050233. The reversal of 105050223 is 322050501.

It is a happy number.

It is not a de Polignac number, because 105050223 - 2² = 105050219 is a prime.

It is a super-2 number, since 2×105050223² = 22071098704699458, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105050196 and 105050205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105050233) 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, 85711 + ... + 86927.

It is an arithmetic number, because the mean of its divisors is an integer number (5115600).

Almost surely, 2^105050223 is an apocalyptic number.

105050223 is a deficient number, since it is larger than the sum of its proper divisors (58648977).

105050223 is a wasteful number, since it uses less digits than its factorization.

105050223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105050223 is about 10249.4011044548. The cubic root of 105050223 is about 471.8446040564.

It can be divided in two parts, 1050502 and 23, that added together give a triangular number (1050525 = T₁₄₄₉).

The spelling of 105050223 in words is "one hundred five million, fifty thousand, two hundred twenty-three".