105213310 has 8 divisors (see below), whose sum is σ = 189383976. Its totient is φ = 42085320.

The previous prime is 105213299. The next prime is 105213313. The reversal of 105213310 is 13312501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105213310² = 22139681202312200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105213313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5260656 + ... + 5260675.

It is an arithmetic number, because the mean of its divisors is an integer number (23672997).

Almost surely, 2^105213310 is an apocalyptic number.

105213310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105213310 is a deficient number, since it is larger than the sum of its proper divisors (84170666).

105213310 is a wasteful number, since it uses less digits than its factorization.

105213310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10521338.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 105213310 is about 10257.3539472907. The cubic root of 105213310 is about 472.0886521932.

Adding to 105213310 its reverse (13312501), we get a palindrome (118525811).

It can be divided in two parts, 10521 and 3310, that added together give a palindrome (13831).

The spelling of 105213310 in words is "one hundred five million, two hundred thirteen thousand, three hundred ten".