105468048 has 80 divisors (see below), whose sum is σ = 345989760. Its totient is φ = 30132864.

The previous prime is 105468037. The next prime is 105468049. The reversal of 105468048 is 840864501.

It is a super-2 number, since 2×105468048² = 22247018297860608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105468049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14415 + ... + 20462.

It is an arithmetic number, because the mean of its divisors is an integer number (4324872).

Almost surely, 2^105468048 is an apocalyptic number.

105468048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105468048 is an abundant number, since it is smaller than the sum of its proper divisors (240521712).

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

105468048 is a wasteful number, since it uses less digits than its factorization.

105468048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34901 (or 34889 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 105468048 is about 10269.7637752774. The cubic root of 105468048 is about 472.4693454539.

The spelling of 105468048 in words is "one hundred five million, four hundred sixty-eight thousand, forty-eight".