105606789120 has 1344 divisors, whose sum is σ = 453742248960. Its totient is φ = 23075684352.

The previous prime is 105606789089. The next prime is 105606789187. The reversal of 105606789120 is 21987606501.

105606789120 is a `hidden beast` number, since 1 + 0 + 560 + 6 + 7 + 89 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×105606789120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2246952937 + ... + 2246952983.

It is an arithmetic number, because the mean of its divisors is an integer number (337605840).

Almost surely, 2^105606789120 is an apocalyptic number.

105606789120 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 105606789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226871124480).

105606789120 is an abundant number, since it is smaller than the sum of its proper divisors (348135459840).

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

105606789120 is an frugal number, since it uses more digits than its factorization.

105606789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 105606789120 in words is "one hundred five billion, six hundred six million, seven hundred eighty-nine thousand, one hundred twenty".