105848320 has 80 divisors (see below), whose sum is σ = 256322880. Its totient is φ = 41918464.

The previous prime is 105848317. The next prime is 105848333. The reversal of 105848320 is 23848501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105848320² = 22407733693644800, 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 7 ways as a sum of consecutive naturals, for example, 442761 + ... + 442999.

It is an arithmetic number, because the mean of its divisors is an integer number (3204036).

Almost surely, 2^105848320 is an apocalyptic number.

105848320 is a gapful number since it is divisible by the number (10) 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 105848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128161440).

105848320 is an abundant number, since it is smaller than the sum of its proper divisors (150474560).

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

105848320 is an equidigital number, since it uses as much as digits as its factorization.

105848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 105848320 is about 10288.2612719546. The cubic root of 105848320 is about 473.0365041472.

The spelling of 105848320 in words is "one hundred five million, eight hundred forty-eight thousand, three hundred twenty".