105027120 has 240 divisors, whose sum is σ = 391716000. Its totient is φ = 25006080.

The previous prime is 105027119. The next prime is 105027133. The reversal of 105027120 is 21720501.

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

It is a super-2 number, since 2×105027120² = 22061391870988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105027093 and 105027102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 704806 + ... + 704954.

It is an arithmetic number, because the mean of its divisors is an integer number (1632150).

Almost surely, 2^105027120 is an apocalyptic number.

105027120 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 105027120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195858000).

105027120 is an abundant number, since it is smaller than the sum of its proper divisors (286688880).

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

105027120 is a wasteful number, since it uses less digits than its factorization.

105027120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 105027120 is about 10248.2740010209. The cubic root of 105027120 is about 471.8100116339.

Adding to 105027120 its reverse (21720501), we get a palindrome (126747621).

The spelling of 105027120 in words is "one hundred five million, twenty-seven thousand, one hundred twenty".