101856609 has 14 divisors (see below), whose sum is σ = 152716146. Its totient is φ = 67903920.

The previous prime is 101856593. The next prime is 101856647. The reversal of 101856609 is 906658101.

It can be written as a sum of positive squares in only one way, i.e., 96589584 + 5267025 = 9828^2 + 2295^2 .

It is not a de Polignac number, because 101856609 - 2⁴ = 101856593 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101856679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 69132 + ... + 70589.

Almost surely, 2^101856609 is an apocalyptic number.

It is an amenable number.

101856609 is a deficient number, since it is larger than the sum of its proper divisors (50859537).

101856609 is an frugal number, since it uses more digits than its factorization.

101856609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139739 (or 139724 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 101856609 is about 10092.4035293878. The cubic root of 101856609 is about 467.0138257503.

The spelling of 101856609 in words is "one hundred one million, eight hundred fifty-six thousand, six hundred nine".