10506101001105 has 8 divisors (see below), whose sum is σ = 16809761601792. Its totient is φ = 5603253867248.

The previous prime is 10506101001049. The next prime is 10506101001113. The reversal of 10506101001105 is 50110010160501.

It is a happy number.

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 10506101001105 - 2¹⁶ = 10506100935569 is a prime.

It is a super-2 number, since 2×10506101001105² (a number of 27 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 350203366689 + ... + 350203366718.

It is an arithmetic number, because the mean of its divisors is an integer number (2101220200224).

Almost surely, 2^{10506101001105} is an apocalyptic number.

10506101001105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10506101001105 is a deficient number, since it is larger than the sum of its proper divisors (6303660600687).

10506101001105 is an equidigital number, since it uses as much as digits as its factorization.

10506101001105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700406733415.

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 10506101001105 its reverse (50110010160501), we get a palindrome (60616111161606).

The spelling of 10506101001105 in words is "ten trillion, five hundred six billion, one hundred one million, one thousand, one hundred five".