1607102964909 has 24 divisors (see below), whose sum is σ = 2500138444440. Its totient is φ = 988907121792.

The previous prime is 1607102964889. The next prime is 1607102964941. The reversal of 1607102964909 is 9094692017061.

It is a happy number.

1607102964909 is a `hidden beast` number, since 1 + 60 + 7 + 1 + 0 + 2 + 96 + 490 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101794816809 + 1505308148100 = 319053^2 + 1226910^2 .

It is not a de Polignac number, because 1607102964909 - 2¹⁷ = 1607102833837 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1607102964949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 931207 + ... + 2020235.

It is an arithmetic number, because the mean of its divisors is an integer number (104172435185).

Almost surely, 2^{1607102964909} is an apocalyptic number.

It is an amenable number.

1607102964909 is a deficient number, since it is larger than the sum of its proper divisors (893035479531).

1607102964909 is a wasteful number, since it uses less digits than its factorization.

1607102964909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101661 (or 1101658 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 1607102964909 in words is "one trillion, six hundred seven billion, one hundred two million, nine hundred sixty-four thousand, nine hundred nine".