106711711513 has 16 divisors (see below), whose sum is σ = 121585654656. Its totient is φ = 92707655040.

The previous prime is 106711711451. The next prime is 106711711537. The reversal of 106711711513 is 315117117601.

It is not a de Polignac number, because 106711711513 - 2¹⁷ = 106711580441 is a prime.

It is a super-2 number, since 2×106711711513² (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 (106711711553) 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 15 ways as a sum of consecutive naturals, for example, 83581 + ... + 469477.

It is an arithmetic number, because the mean of its divisors is an integer number (7599103416).

Almost surely, 2^106711711513 is an apocalyptic number.

It is an amenable number.

106711711513 is a deficient number, since it is larger than the sum of its proper divisors (14873943143).

106711711513 is a wasteful number, since it uses less digits than its factorization.

106711711513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387024.

The product of its (nonzero) digits is 4410, while the sum is 34.

The spelling of 106711711513 in words is "one hundred six billion, seven hundred eleven million, seven hundred eleven thousand, five hundred thirteen".