105927648 has 48 divisors (see below), whose sum is σ = 280215936. Its totient is φ = 35035520.

The previous prime is 105927643. The next prime is 105927677. The reversal of 105927648 is 846729501.

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

It is a super-2 number, since 2×105927648² = 22441333221623808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105927643) 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 7 ways as a sum of consecutive naturals, for example, 8365 + ... + 16787.

It is an arithmetic number, because the mean of its divisors is an integer number (5837832).

Almost surely, 2^105927648 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 105927648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140107968).

105927648 is an abundant number, since it is smaller than the sum of its proper divisors (174288288).

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

105927648 is a wasteful number, since it uses less digits than its factorization.

105927648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8567 (or 8559 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 105927648 is about 10292.1158174595. The cubic root of 105927648 is about 473.1546470059.

The spelling of 105927648 in words is "one hundred five million, nine hundred twenty-seven thousand, six hundred forty-eight".