106716011721 has 32 divisors (see below), whose sum is σ = 164561104896. Its totient is φ = 60898392000.

The previous prime is 106716011719. The next prime is 106716011737. The reversal of 106716011721 is 127110617601.

It is not a de Polignac number, because 106716011721 - 2¹ = 106716011719 is a prime.

It is a super-2 number, since 2×106716011721² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106716011741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1371835 + ... + 1447536.

It is an arithmetic number, because the mean of its divisors is an integer number (5142534528).

Almost surely, 2^106716011721 is an apocalyptic number.

106716011721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106716011721 is a deficient number, since it is larger than the sum of its proper divisors (57845093175).

106716011721 is a wasteful number, since it uses less digits than its factorization.

106716011721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819453.

The product of its (nonzero) digits is 3528, while the sum is 33.

The spelling of 106716011721 in words is "one hundred six billion, seven hundred sixteen million, eleven thousand, seven hundred twenty-one".