105223213532 has 96 divisors (see below), whose sum is σ = 205869444480. Its totient is φ = 46843453440.

The previous prime is 105223213531. The next prime is 105223213559. The reversal of 105223213532 is 235312322501.

It is a super-2 number, since 2×105223213532² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105223213495 and 105223213504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105223213531) 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, 13036394 + ... + 13044462.

It is an arithmetic number, because the mean of its divisors is an integer number (2144473380).

Almost surely, 2^105223213532 is an apocalyptic number.

It is an amenable number.

105223213532 is a deficient number, since it is larger than the sum of its proper divisors (100646230948).

105223213532 is a wasteful number, since it uses less digits than its factorization.

105223213532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8271 (or 8269 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 105223213532 in words is "one hundred five billion, two hundred twenty-three million, two hundred thirteen thousand, five hundred thirty-two".