105132217058 has 54 divisors (see below), whose sum is σ = 183107949633. Its totient is φ = 45230977440.

The previous prime is 105132216983. The next prime is 105132217081. The reversal of 105132217058 is 850712231501.

It can be written as a sum of positive squares in 2 ways, for example, as 99993191089 + 5139025969 = 316217^2 + 71687^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=229273.

It is a super-2 number, since 2×105132217058² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95835566 + ... + 95836662.

Almost surely, 2^105132217058 is an apocalyptic number.

105132217058 is a deficient number, since it is larger than the sum of its proper divisors (77975732575).

105132217058 is an equidigital number, since it uses as much as digits as its factorization.

105132217058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

Adding to 105132217058 its reverse (850712231501), we get a palindrome (955844448559).

The spelling of 105132217058 in words is "one hundred five billion, one hundred thirty-two million, two hundred seventeen thousand, fifty-eight".