106716646049 has 16 divisors (see below), whose sum is σ = 118823955600. Its totient is φ = 95201982720.

The previous prime is 106716646031. The next prime is 106716646061. The reversal of 106716646049 is 940646617601.

It can be written as a sum of positive squares in 8 ways, for example, as 745563025 + 105971083024 = 27305^2 + 325532^2 .

It is not a de Polignac number, because 106716646049 - 2⁸ = 106716645793 is a prime.

It is a super-2 number, since 2×106716646049² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106716645988 and 106716646006.

It is not an unprimeable number, because it can be changed into a prime (106716046049) 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, 672842 + ... + 816179.

It is an arithmetic number, because the mean of its divisors is an integer number (7426497225).

Almost surely, 2^106716646049 is an apocalyptic number.

It is an amenable number.

106716646049 is a deficient number, since it is larger than the sum of its proper divisors (12107309551).

106716646049 is a wasteful number, since it uses less digits than its factorization.

106716646049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489220.

The product of its (nonzero) digits is 1306368, while the sum is 50.

The spelling of 106716646049 in words is "one hundred six billion, seven hundred sixteen million, six hundred forty-six thousand, forty-nine".