10505606100011 has 16 divisors (see below), whose sum is σ = 11491962028800. Its totient is φ = 9524469546720.

The previous prime is 10505606099999. The next prime is 10505606100023. The reversal of 10505606100011 is 11000160650501.

10505606100011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10505606099999) and next prime (10505606100023).

It is a cyclic number.

It is not a de Polignac number, because 10505606100011 - 2¹⁴ = 10505606083627 is a prime.

It is a super-2 number, since 2×10505606100011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10505606100091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101550890 + ... + 101654288.

It is an arithmetic number, because the mean of its divisors is an integer number (718247626800).

Almost surely, 2^{10505606100011} is an apocalyptic number.

10505606100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10505606100011 is a deficient number, since it is larger than the sum of its proper divisors (986355928789).

10505606100011 is a wasteful number, since it uses less digits than its factorization.

10505606100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128546.

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 10505606100011 its reverse (11000160650501), we get a palindrome (21505766750512).

The spelling of 10505606100011 in words is "ten trillion, five hundred five billion, six hundred six million, one hundred thousand, eleven".