105365536120 has 128 divisors (see below), whose sum is σ = 257400763200. Its totient is φ = 38586617856.

The previous prime is 105365536093. The next prime is 105365536123. The reversal of 105365536120 is 21635563501.

105365536120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105365536120² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105365536120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105365536123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42536322 + ... + 42538798.

Almost surely, 2^105365536120 is an apocalyptic number.

105365536120 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 105365536120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128700381600).

105365536120 is an abundant number, since it is smaller than the sum of its proper divisors (152035227080).

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

105365536120 is a wasteful number, since it uses less digits than its factorization.

105365536120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 37.

The spelling of 105365536120 in words is "one hundred five billion, three hundred sixty-five million, five hundred thirty-six thousand, one hundred twenty".