105316848 has 400 divisors, whose sum is σ = 403307520. Its totient is φ = 25754112.

The previous prime is 105316843. The next prime is 105316859. The reversal of 105316848 is 848613501.

It is a super-2 number, since 2×105316848² = 22183276945310208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105316843) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2240761 + ... + 2240807.

Almost surely, 2^105316848 is an apocalyptic number.

105316848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105316848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201653760).

105316848 is an abundant number, since it is smaller than the sum of its proper divisors (297990672).

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

105316848 is a wasteful number, since it uses less digits than its factorization.

105316848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 105316848 is about 10262.3997193639. The cubic root of 105316848 is about 472.2434586210.

It can be divided in two parts, 1053 and 16848, that multiplied together give a square (17740944 = 4212²).

The spelling of 105316848 in words is "one hundred five million, three hundred sixteen thousand, eight hundred forty-eight".