105000535032532 has 24 divisors (see below), whose sum is σ = 184024241823240. Its totient is φ = 52422181818240.

The previous prime is 105000535032511. The next prime is 105000535032551. The reversal of 105000535032532 is 235230535000501.

It can be written as a sum of positive squares in 4 ways, for example, as 36023091701776 + 68977443330756 = 6001924^2 + 8305266^2 .

It is a super-2 number, since 2×105000535032532² (a number of 29 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 (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465850182 + ... + 466075522.

It is an arithmetic number, because the mean of its divisors is an integer number (7667676742635).

Almost surely, 2^{105000535032532} is an apocalyptic number.

It is an amenable number.

105000535032532 is a deficient number, since it is larger than the sum of its proper divisors (79023706790708).

105000535032532 is a wasteful number, since it uses less digits than its factorization.

105000535032532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398091 (or 398089 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 34.

The spelling of 105000535032532 in words is "one hundred five trillion, five hundred thirty-five million, thirty-two thousand, five hundred thirty-two".