105213364 has 12 divisors (see below), whose sum is σ = 184351300. Its totient is φ = 52541568.

The previous prime is 105213359. The next prime is 105213377. The reversal of 105213364 is 463312501.

It can be written as a sum of positive squares in 2 ways, for example, as 83868964 + 21344400 = 9158^2 + 4620^2 .

It is a super-2 number, since 2×105213364² = 22139703928392992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12549 + ... + 19180.

Almost surely, 2^105213364 is an apocalyptic number.

It is an amenable number.

105213364 is a deficient number, since it is larger than the sum of its proper divisors (79137936).

105213364 is a wasteful number, since it uses less digits than its factorization.

105213364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32562 (or 32560 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 105213364 is about 10257.3565795482. The cubic root of 105213364 is about 472.0887329586.

Adding to 105213364 its reverse (463312501), we get a palindrome (568525865).

The spelling of 105213364 in words is "one hundred five million, two hundred thirteen thousand, three hundred sixty-four".