105084720 has 240 divisors, whose sum is σ = 387266880. Its totient is φ = 25380864.

The previous prime is 105084713. The next prime is 105084731. The reversal of 105084720 is 27480501.

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

It is a super-2 number, since 2×105084720² = 22085596754956800, 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 47 ways as a sum of consecutive naturals, for example, 964026 + ... + 964134.

It is an arithmetic number, because the mean of its divisors is an integer number (1613612).

Almost surely, 2^105084720 is an apocalyptic number.

105084720 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 105084720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193633440).

105084720 is an abundant number, since it is smaller than the sum of its proper divisors (282182160).

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

105084720 is a wasteful number, since it uses less digits than its factorization.

105084720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

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

The square root of 105084720 is about 10251.0838451356. The cubic root of 105084720 is about 471.8962474242.

The spelling of 105084720 in words is "one hundred five million, eighty-four thousand, seven hundred twenty".