105261535532 has 48 divisors (see below), whose sum is σ = 187079397120. Its totient is φ = 51817896000.

The previous prime is 105261535531. The next prime is 105261535553. The reversal of 105261535532 is 235535162501.

It is a super-2 number, since 2×105261535532² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105261535531) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 72543407 + ... + 72544857.

It is an arithmetic number, because the mean of its divisors is an integer number (3897487440).

Almost surely, 2^105261535532 is an apocalyptic number.

It is an amenable number.

105261535532 is a deficient number, since it is larger than the sum of its proper divisors (81817861588).

105261535532 is a wasteful number, since it uses less digits than its factorization.

105261535532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 38.

The spelling of 105261535532 in words is "one hundred five billion, two hundred sixty-one million, five hundred thirty-five thousand, five hundred thirty-two".