105048720 has 240 divisors, whose sum is σ = 424794240. Its totient is φ = 22726656.

The previous prime is 105048707. The next prime is 105048721. The reversal of 105048720 is 27840501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105048720² = 22070467147276800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105048721) 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 47 ways as a sum of consecutive naturals, for example, 95212 + ... + 96308.

It is an arithmetic number, because the mean of its divisors is an integer number (1769976).

Almost surely, 2^105048720 is an apocalyptic number.

105048720 is a gapful number since it is divisible by the number (10) 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 105048720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212397120).

105048720 is an abundant number, since it is smaller than the sum of its proper divisors (319745520).

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

105048720 is a wasteful number, since it uses less digits than its factorization.

105048720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 105048720 is about 10249.3277828353. The cubic root of 105048720 is about 471.8423537492.

It can be divided in two parts, 1050 and 48720, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 105048720 in words is "one hundred five million, forty-eight thousand, seven hundred twenty".