105132217057 has 8 divisors (see below), whose sum is σ = 125375066496. Its totient is φ = 86195357952.

The previous prime is 105132216983. The next prime is 105132217081. The reversal of 105132217057 is 750712231501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105132217057 - 2⁷ = 105132216929 is a prime.

It is a super-2 number, since 2×105132217057² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105132217087) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 326497408 + ... + 326497729.

It is an arithmetic number, because the mean of its divisors is an integer number (15671883312).

Almost surely, 2^105132217057 is an apocalyptic number.

It is an amenable number.

105132217057 is a deficient number, since it is larger than the sum of its proper divisors (20242849439).

105132217057 is an equidigital number, since it uses as much as digits as its factorization.

105132217057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652995167.

The product of its (nonzero) digits is 14700, while the sum is 34.

Adding to 105132217057 its reverse (750712231501), we get a palindrome (855844448558).

The spelling of 105132217057 in words is "one hundred five billion, one hundred thirty-two million, two hundred seventeen thousand, fifty-seven".