105180255432 has 320 divisors, whose sum is σ = 352076313600. Its totient is φ = 28683642240.

The previous prime is 105180255431. The next prime is 105180255437. The reversal of 105180255432 is 234552081501.

105180255432 is a `hidden beast` number, since 10 + 5 + 1 + 80 + 25 + 543 + 2 = 666.

It is a super-2 number, since 2×105180255432² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105180255431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72089919 + ... + 72091377.

It is an arithmetic number, because the mean of its divisors is an integer number (1100238480).

Almost surely, 2^105180255432 is an apocalyptic number.

105180255432 is a gapful number since it is divisible by the number (12) 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 105180255432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176038156800).

105180255432 is an abundant number, since it is smaller than the sum of its proper divisors (246896058168).

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

105180255432 is a wasteful number, since it uses less digits than its factorization.

105180255432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 105180255432 in words is "one hundred five billion, one hundred eighty million, two hundred fifty-five thousand, four hundred thirty-two".