101609850169 has 15 divisors (see below), whose sum is σ = 107376402453. Its totient is φ = 96152946372.

The previous prime is 101609850161. The next prime is 101609850203. The reversal of 101609850169 is 961058906101.

It is a happy number.

The square root of 101609850169 is 318763.

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

It is not a de Polignac number, because 101609850169 - 2³ = 101609850161 is a prime.

It is a super-2 number, since 2×101609850169² (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 (101609850161) 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 14 ways as a sum of consecutive naturals, for example, 115073002 + ... + 115073884.

Almost surely, 2^101609850169 is an apocalyptic number.

101609850169 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

101609850169 is the 318763-rd square number.

101609850169 is the 159382-nd centered octagonal number.

It is an amenable number.

101609850169 is a deficient number, since it is larger than the sum of its proper divisors (5766552284).

101609850169 is an frugal number, since it uses more digits than its factorization.

101609850169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 46.

The spelling of 101609850169 in words is "one hundred one billion, six hundred nine million, eight hundred fifty thousand, one hundred sixty-nine".