105912720 has 180 divisors, whose sum is σ = 378586260. Its totient is φ = 26529792.

The previous prime is 105912683. The next prime is 105912721. The reversal of 105912720 is 27219501.

105912720 is a `hidden beast` number, since 1 + 0 + 591 + 2 + 72 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15586704 + 90326016 = 3948^2 + 9504^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×105912720² = 22435008515596800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105912721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 207826 + ... + 208334.

It is an arithmetic number, because the mean of its divisors is an integer number (2103257).

Almost surely, 2^105912720 is an apocalyptic number.

105912720 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 105912720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189293130).

105912720 is an abundant number, since it is smaller than the sum of its proper divisors (272673540).

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

105912720 is a wasteful number, since it uses less digits than its factorization.

105912720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 105912720 is about 10291.3905765936. The cubic root of 105912720 is about 473.1324193044.

The spelling of 105912720 in words is "one hundred five million, nine hundred twelve thousand, seven hundred twenty".