105238762532 has 24 divisors (see below), whose sum is σ = 189320164992. Its totient is φ = 51167592000.

The previous prime is 105238762513. The next prime is 105238762547. The reversal of 105238762532 is 235267832501.

It is a happy number.

105238762532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105238762532² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2517344 + ... + 2558807.

It is an arithmetic number, because the mean of its divisors is an integer number (7888340208).

Almost surely, 2^105238762532 is an apocalyptic number.

It is an amenable number.

105238762532 is a deficient number, since it is larger than the sum of its proper divisors (84081402460).

105238762532 is a wasteful number, since it uses less digits than its factorization.

105238762532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076299 (or 5076297 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 105238762532 in words is "one hundred five billion, two hundred thirty-eight million, seven hundred sixty-two thousand, five hundred thirty-two".