106401440165 has 16 divisors (see below), whose sum is σ = 135201186288. Its totient is φ = 80108829696.

The previous prime is 106401440137. The next prime is 106401440203. The reversal of 106401440165 is 561044104601.

It can be written as a sum of positive squares in 8 ways, for example, as 28734996196 + 77666443969 = 169514^2 + 278687^2 .

It is a cyclic number.

It is not a de Polignac number, because 106401440165 - 2¹⁴ = 106401423781 is a prime.

It is a super-2 number, since 2×106401440165² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1728659 + ... + 1789151.

It is an arithmetic number, because the mean of its divisors is an integer number (8450074143).

Almost surely, 2^106401440165 is an apocalyptic number.

It is an amenable number.

106401440165 is a deficient number, since it is larger than the sum of its proper divisors (28799746123).

106401440165 is a wasteful number, since it uses less digits than its factorization.

106401440165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81208.

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 106401440165 its reverse (561044104601), we get a palindrome (667445544766).

The spelling of 106401440165 in words is "one hundred six billion, four hundred one million, four hundred forty thousand, one hundred sixty-five".