105701115211007 has 8 divisors (see below), whose sum is σ = 117809292495600. Its totient is φ = 94247433995904.

The previous prime is 105701115210997. The next prime is 105701115211009. The reversal of 105701115211007 is 700112511107501.

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 105701115211007 - 2³² = 105696820243711 is a prime.

It is a super-2 number, since 2×105701115211007² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105701115211009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163624017032 + ... + 163624017677.

It is an arithmetic number, because the mean of its divisors is an integer number (14726161561950).

Almost surely, 2^{105701115211007} is an apocalyptic number.

105701115211007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105701115211007 is a deficient number, since it is larger than the sum of its proper divisors (12108177284593).

105701115211007 is a wasteful number, since it uses less digits than its factorization.

105701115211007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327248034745.

The product of its (nonzero) digits is 2450, while the sum is 32.

Adding to 105701115211007 its reverse (700112511107501), we get a palindrome (805813626318508).

The spelling of 105701115211007 in words is "one hundred five trillion, seven hundred one billion, one hundred fifteen million, two hundred eleven thousand, seven".