105436848 has 80 divisors (see below), whose sum is σ = 298480896. Its totient is φ = 31806720.

The previous prime is 105436847. The next prime is 105436889. The reversal of 105436848 is 848634501.

It is a super-2 number, since 2×105436848² = 22233857832350208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105436841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209365 + ... + 209867.

Almost surely, 2^105436848 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 105436848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149240448).

105436848 is an abundant number, since it is smaller than the sum of its proper divisors (193044048).

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

105436848 is a wasteful number, since it uses less digits than its factorization.

105436848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 105436848 is about 10268.2446406384. The cubic root of 105436848 is about 472.4227515718.

It can be divided in two parts, 10543 and 6848, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 105436848 in words is "one hundred five million, four hundred thirty-six thousand, eight hundred forty-eight".