105120702720 has 288 divisors, whose sum is σ = 406946010240. Its totient is φ = 25483714560.

The previous prime is 105120702707. The next prime is 105120702721. The reversal of 105120702720 is 27207021501.

105120702720 is a `hidden beast` number, since 10 + 512 + 0 + 70 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105120702720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105120702721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241902 + ... + 518418.

It is an arithmetic number, because the mean of its divisors is an integer number (1413006980).

Almost surely, 2^105120702720 is an apocalyptic number.

105120702720 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 105120702720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203473005120).

105120702720 is an abundant number, since it is smaller than the sum of its proper divisors (301825307520).

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

105120702720 is a wasteful number, since it uses less digits than its factorization.

105120702720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276558 (or 276538 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 105120702720 in words is "one hundred five billion, one hundred twenty million, seven hundred two thousand, seven hundred twenty".