105217712501 has 4 divisors (see below), whose sum is σ = 114782959104. Its totient is φ = 95652465900.

The previous prime is 105217712497. The next prime is 105217712563.

105217712501 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105217712501 - 2² = 105217712497 is a prime.

It is a super-2 number, since 2×105217712501² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105217712701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4782623285 + ... + 4782623306.

It is an arithmetic number, because the mean of its divisors is an integer number (28695739776).

Almost surely, 2^105217712501 is an apocalyptic number.

105217712501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105217712501 is a deficient number, since it is larger than the sum of its proper divisors (9565246603).

105217712501 is an equidigital number, since it uses as much as digits as its factorization.

105217712501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9565246602.

The product of its (nonzero) digits is 4900, while the sum is 32.

It can be divided in two parts, 105217 and 712501, that added together give a palindrome (817718).

The spelling of 105217712501 in words is "one hundred five billion, two hundred seventeen million, seven hundred twelve thousand, five hundred one".