105138648 has 40 divisors (see below), whose sum is σ = 294487380. Its totient is φ = 35046000.

The previous prime is 105138643. The next prime is 105138707. The reversal of 105138648 is 846831501.

105138648 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 8 + 648 = 666.

It is a super-2 number, since 2×105138648² = 22108270606535808, 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 (105138641) 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 9 ways as a sum of consecutive naturals, for example, 80478 + ... + 81773.

Almost surely, 2^105138648 is an apocalyptic number.

105138648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105138648 is an abundant number, since it is smaller than the sum of its proper divisors (189348732).

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

105138648 is a wasteful number, since it uses less digits than its factorization.

105138648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162269 (or 162256 counting only the distinct ones).

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

The square root of 105138648 is about 10253.7138637666. The cubic root of 105138648 is about 471.9769571246.

The spelling of 105138648 in words is "one hundred five million, one hundred thirty-eight thousand, six hundred forty-eight".