105032555334 has 48 divisors (see below), whose sum is σ = 269713237248. Its totient is φ = 30009300552.

The previous prime is 105032555323. The next prime is 105032555339. The reversal of 105032555334 is 433555230501.

105032555334 is a `hidden beast` number, since 1 + 0 + 50 + 3 + 25 + 553 + 34 = 666.

It is a super-2 number, since 2×105032555334² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105032555339) 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 23 ways as a sum of consecutive naturals, for example, 15433482 + ... + 15440285.

It is an arithmetic number, because the mean of its divisors is an integer number (5619025776).

Almost surely, 2^105032555334 is an apocalyptic number.

105032555334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105032555334 is an abundant number, since it is smaller than the sum of its proper divisors (164680681914).

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

105032555334 is an equidigital number, since it uses as much as digits as its factorization.

105032555334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30873791 (or 30873779 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

Adding to 105032555334 its reverse (433555230501), we get a palindrome (538587785835).

The spelling of 105032555334 in words is "one hundred five billion, thirty-two million, five hundred fifty-five thousand, three hundred thirty-four".