101208605689 has 9 divisors (see below), whose sum is σ = 102531404997. Its totient is φ = 99902669724.

The previous prime is 101208605669. The next prime is 101208605747. The reversal of 101208605689 is 986506802101.

The square root of 101208605689 is 318133.

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

It is not a de Polignac number, because 101208605689 - 2¹⁵ = 101208572921 is a prime.

It is a super-2 number, since 2×101208605689² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101208605669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25130494 + ... + 25134520.

It is an arithmetic number, because the mean of its divisors is an integer number (11392378333).

Almost surely, 2^101208605689 is an apocalyptic number.

101208605689 is the 318133-rd square number.

101208605689 is the 159067-th centered octagonal number.

It is an amenable number.

101208605689 is a deficient number, since it is larger than the sum of its proper divisors (1322799308).

101208605689 is an frugal number, since it uses more digits than its factorization.

101208605689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8212 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 101208605689 in words is "one hundred one billion, two hundred eight million, six hundred five thousand, six hundred eighty-nine".