105034848 has 48 divisors (see below), whose sum is σ = 281594880. Its totient is φ = 34265216.

The previous prime is 105034847. The next prime is 105034871. The reversal of 105034848 is 848430501.

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

It is a super-3 number, since 3×105034848³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105034847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7128 + ... + 16151.

It is an arithmetic number, because the mean of its divisors is an integer number (5866560).

Almost surely, 2^105034848 is an apocalyptic number.

It is an amenable number.

105034848 is an abundant number, since it is smaller than the sum of its proper divisors (176560032).

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

105034848 is a wasteful number, since it uses less digits than its factorization.

105034848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23339 (or 23331 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 105034848 is about 10248.6510331848. The cubic root of 105034848 is about 471.8215834334.

It can be divided in two parts, 10503 and 4848, that added together give a palindrome (15351).

The spelling of 105034848 in words is "one hundred five million, thirty-four thousand, eight hundred forty-eight".