105213216 has 48 divisors (see below), whose sum is σ = 282931488. Its totient is φ = 34214400.

The previous prime is 105213197. The next prime is 105213223. The reversal of 105213216 is 612312501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105213216² = 22139641642125312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105213192 and 105213201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9430 + ... + 17301.

It is an arithmetic number, because the mean of its divisors is an integer number (5894406).

Almost surely, 2^105213216 is an apocalyptic number.

105213216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105213216 is an abundant number, since it is smaller than the sum of its proper divisors (177718272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105213216 is a wasteful number, since it uses less digits than its factorization.

105213216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26785 (or 26777 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105213216 is about 10257.3493652113. The cubic root of 105213216 is about 472.0885116016.

Adding to 105213216 its reverse (612312501), we get a palindrome (717525717).

The spelling of 105213216 in words is "one hundred five million, two hundred thirteen thousand, two hundred sixteen".