105298848 has 72 divisors (see below), whose sum is σ = 301837536. Its totient is φ = 34819200.

The previous prime is 105298771. The next prime is 105298861. The reversal of 105298848 is 848892501.

It is a happy number.

105298848 is a `hidden beast` number, since 1 + 0 + 529 + 88 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105298848² = 22175694780254208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36333 + ... + 39123.

It is an arithmetic number, because the mean of its divisors is an integer number (4192188).

Almost surely, 2^105298848 is an apocalyptic number.

105298848 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 105298848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150918768).

105298848 is an abundant number, since it is smaller than the sum of its proper divisors (196538688).

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

105298848 is a wasteful number, since it uses less digits than its factorization.

105298848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 105298848 is about 10261.5226940255. The cubic root of 105298848 is about 472.2165529336.

The spelling of 105298848 in words is "one hundred five million, two hundred ninety-eight thousand, eight hundred forty-eight".