105186048 has 72 divisors (see below), whose sum is σ = 305422656. Its totient is φ = 31872000.

The previous prime is 105186043. The next prime is 105186073. The reversal of 105186048 is 840681501.

It is a super-2 number, since 2×105186048² = 22128209387716608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105186043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2223 + ... + 14673.

Almost surely, 2^105186048 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 105186048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152711328).

105186048 is an abundant number, since it is smaller than the sum of its proper divisors (200236608).

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

105186048 is a wasteful number, since it uses less digits than its factorization.

105186048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12481 (or 12467 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 105186048 is about 10256.0249609681. The cubic root of 105186048 is about 472.0478741060.

The spelling of 105186048 in words is "one hundred five million, one hundred eighty-six thousand, forty-eight".