105319648 has 96 divisors (see below), whose sum is σ = 253532160. Its totient is φ = 42094080.

The previous prime is 105319633. The next prime is 105319667. The reversal of 105319648 is 846913501.

It is a super-2 number, since 2×105319648² = 22184456509687808, 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 15 ways as a sum of consecutive naturals, for example, 201115 + ... + 201637.

It is an arithmetic number, because the mean of its divisors is an integer number (2640960).

Almost surely, 2^105319648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105319648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126766080).

105319648 is an abundant number, since it is smaller than the sum of its proper divisors (148212512).

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

105319648 is a wasteful number, since it uses less digits than its factorization.

105319648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 105319648 is about 10262.5361387914. The cubic root of 105319648 is about 472.2476436746.

The spelling of 105319648 in words is "one hundred five million, three hundred nineteen thousand, six hundred forty-eight".