105270720 has 112 divisors (see below), whose sum is σ = 340705440. Its totient is φ = 27529216.

The previous prime is 105270703. The next prime is 105270721. The reversal of 105270720 is 27072501.

It is a super-2 number, since 2×105270720² = 22163848978636800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105270721) 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 15 ways as a sum of consecutive naturals, for example, 49846 + ... + 51914.

Almost surely, 2^105270720 is an apocalyptic number.

105270720 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 105270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170352720).

105270720 is an abundant number, since it is smaller than the sum of its proper divisors (235434720).

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

105270720 is a wasteful number, since it uses less digits than its factorization.

105270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 105270720 is about 10260.1520456570. The cubic root of 105270720 is about 472.1745021726.

The spelling of 105270720 in words is "one hundred five million, two hundred seventy thousand, seven hundred twenty".