106264585169 has 6 divisors (see below), whose sum is σ = 108307410246. Its totient is φ = 104259590240.

The previous prime is 106264585121. The next prime is 106264585199. The reversal of 106264585169 is 961585462601.

It can be written as a sum of positive squares in 3 ways, for example, as 61870095169 + 44394490000 = 248737^2 + 210700^2 .

It is a de Polignac number, because none of the positive numbers 2^k-106264585169 is a prime.

It is a super-2 number, since 2×106264585169² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106264585169.

It is not an unprimeable number, because it can be changed into a prime (106264585199) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18912212 + ... + 18917829.

It is an arithmetic number, because the mean of its divisors is an integer number (18051235041).

Almost surely, 2^106264585169 is an apocalyptic number.

It is an amenable number.

106264585169 is a deficient number, since it is larger than the sum of its proper divisors (2042825077).

106264585169 is an frugal number, since it uses more digits than its factorization.

106264585169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37830147 (or 37830094 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 53.

The spelling of 106264585169 in words is "one hundred six billion, two hundred sixty-four million, five hundred eighty-five thousand, one hundred sixty-nine".