105025534032 has 40 divisors (see below), whose sum is σ = 271334245600. Its totient is φ = 35006152320.

The previous prime is 105025534027. The next prime is 105025534063. The reversal of 105025534032 is 230435520501.

It is a super-2 number, since 2×105025534032² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 738219 + ... + 868917.

It is an arithmetic number, because the mean of its divisors is an integer number (6783356140).

Almost surely, 2^105025534032 is an apocalyptic number.

105025534032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105025534032 is an abundant number, since it is smaller than the sum of its proper divisors (166308711568).

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

105025534032 is a wasteful number, since it uses less digits than its factorization.

105025534032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147451 (or 147445 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 105025534032 in words is "one hundred five billion, twenty-five million, five hundred thirty-four thousand, thirty-two".