105618048 has 32 divisors (see below), whose sum is σ = 280548960. Its totient is φ = 35205888.

The previous prime is 105618043. The next prime is 105618053. The reversal of 105618048 is 840816501.

It is an interprime number because it is at equal distance from previous prime (105618043) and next prime (105618053).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105618048² = 22310344126660608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105618043) 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 3 ways as a sum of consecutive naturals, for example, 137140 + ... + 137907.

It is an arithmetic number, because the mean of its divisors is an integer number (8767155).

Almost surely, 2^105618048 is an apocalyptic number.

It is an amenable number.

105618048 is an abundant number, since it is smaller than the sum of its proper divisors (174930912).

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

105618048 is an equidigital number, since it uses as much as digits as its factorization.

105618048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275064 (or 275052 counting only the distinct ones).

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

The square root of 105618048 is about 10277.0641722235. The cubic root of 105618048 is about 472.6932263090.

The spelling of 105618048 in words is "one hundred five million, six hundred eighteen thousand, forty-eight".