105213248 has 28 divisors (see below), whose sum is σ = 238609632. Its totient is φ = 45091200.

The previous prime is 105213239. The next prime is 105213253. The reversal of 105213248 is 842312501.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×105213248² = 22139655109419008, which contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 116978 + ... + 117873.

Almost surely, 2^105213248 is an apocalyptic number.

It is an amenable number.

105213248 is an abundant number, since it is smaller than the sum of its proper divisors (133396384).

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

105213248 is an equidigital number, since it uses as much as digits as its factorization.

105213248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234870 (or 234860 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 105213248 is about 10257.3509250683. The cubic root of 105213248 is about 472.0885594626.

Adding to 105213248 its reverse (842312501), we get a palindrome (947525749).

The spelling of 105213248 in words is "one hundred five million, two hundred thirteen thousand, two hundred forty-eight".