16106705315857 has 16 divisors (see below), whose sum is σ = 17353229659920. Its totient is φ = 14861260627200.

The previous prime is 16106705315837. The next prime is 16106705315873. The reversal of 16106705315857 is 75851350760161.

It is a Cunningham number, because it is equal to 4013316²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 293031672976 + 15813673642881 = 541324^2 + 3976641^2 .

It is not a de Polignac number, because 16106705315857 - 2³⁹ = 15556949501969 is a prime.

It is a super-2 number, since 2×16106705315857² (a number of 27 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 = 16106705315798 and 16106705315807.

It is not an unprimeable number, because it can be changed into a prime (16106705315837) 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, 302338819 + ... + 302392087.

It is an arithmetic number, because the mean of its divisors is an integer number (1084576853745).

Almost surely, 2^{16106705315857} is an apocalyptic number.

It is an amenable number.

16106705315857 is a deficient number, since it is larger than the sum of its proper divisors (1246524344063).

16106705315857 is a wasteful number, since it uses less digits than its factorization.

16106705315857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62964.

The product of its (nonzero) digits is 5292000, while the sum is 55.

The spelling of 16106705315857 in words is "sixteen trillion, one hundred six billion, seven hundred five million, three hundred fifteen thousand, eight hundred fifty-seven".