105034432032 has 72 divisors (see below), whose sum is σ = 299827592064. Its totient is φ = 34878328704.

The previous prime is 105034432007. The next prime is 105034432033. The reversal of 105034432032 is 230234430501.

105034432032 is a `hidden beast` number, since 10 + 5 + 0 + 3 + 443 + 203 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105034432032² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105034431987 and 105034432005.

It is not an unprimeable number, because it can be changed into a prime (105034432033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617608 + ... + 769095.

It is an arithmetic number, because the mean of its divisors is an integer number (4164272112).

Almost surely, 2^105034432032 is an apocalyptic number.

105034432032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105034432032 is an abundant number, since it is smaller than the sum of its proper divisors (194793160032).

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

105034432032 is a wasteful number, since it uses less digits than its factorization.

105034432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386982 (or 1386971 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 105034432032 its reverse (230234430501), we get a palindrome (335268862533).

The spelling of 105034432032 in words is "one hundred five billion, thirty-four million, four hundred thirty-two thousand, thirty-two".