100107061609 has 9 divisors (see below), whose sum is σ = 102621547461. Its totient is φ = 97652770080.

The previous prime is 100107061511. The next prime is 100107061711. The reversal of 100107061609 is 906160701001.

The square root of 100107061609 is 316397.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 29472305625 + 70634755984 = 171675^2 + 265772^2 .

It is not a de Polignac number, because 100107061609 - 2³³ = 91517127017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100107061909) 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 8 ways as a sum of consecutive naturals, for example, 12968419 + ... + 12976135.

Almost surely, 2^100107061609 is an apocalyptic number.

100107061609 is the 316397-th square number.

100107061609 is the 158199-th centered octagonal number.

It is an amenable number.

100107061609 is a deficient number, since it is larger than the sum of its proper divisors (2514485852).

100107061609 is an frugal number, since it uses more digits than its factorization.

100107061609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15516 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

The spelling of 100107061609 in words is "one hundred billion, one hundred seven million, sixty-one thousand, six hundred nine".