105504768 has 168 divisors, whose sum is σ = 322024248. Its totient is φ = 34504704.

The previous prime is 105504761. The next prime is 105504769. The reversal of 105504768 is 867405501.

105504768 is a `hidden beast` number, since 1 + 0 + 550 + 47 + 68 = 666.

It is a super-2 number, since 2×105504768² = 22262512141467648, 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 (105504761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1990630 + ... + 1990682.

It is an arithmetic number, because the mean of its divisors is an integer number (1916811).

Almost surely, 2^105504768 is an apocalyptic number.

105504768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161012124).

105504768 is an abundant number, since it is smaller than the sum of its proper divisors (216519480).

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

105504768 is an frugal number, since it uses more digits than its factorization.

105504768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 105504768 is about 10271.5513920732. The cubic root of 105504768 is about 472.5241710991.

The spelling of 105504768 in words is "one hundred five million, five hundred four thousand, seven hundred sixty-eight".