105042133532 has 24 divisors (see below), whose sum is σ = 219218366976. Its totient is φ = 43060750128.

The previous prime is 105042133523. The next prime is 105042133549. The reversal of 105042133532 is 235331240501.

It is a happy number.

It is a super-2 number, since 2×105042133532² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105042133495 and 105042133504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81553808 + ... + 81555095.

It is an arithmetic number, because the mean of its divisors is an integer number (9134098624).

Almost surely, 2^105042133532 is an apocalyptic number.

It is an amenable number.

105042133532 is an abundant number, since it is smaller than the sum of its proper divisors (114176233444).

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

105042133532 is a wasteful number, since it uses less digits than its factorization.

105042133532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163108937 (or 163108935 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 105042133532 in words is "one hundred five billion, forty-two million, one hundred thirty-three thousand, five hundred thirty-two".