101609850168 has 64 divisors (see below), whose sum is σ = 282300940800. Its totient is φ = 33863787360.

The previous prime is 101609850161. The next prime is 101609850203. The reversal of 101609850168 is 861058906101.

It is a Cunningham number, because it is equal to 318763²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101609850161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1235203 + ... + 1314893.

It is an arithmetic number, because the mean of its divisors is an integer number (4410952200).

Almost surely, 2^101609850168 is an apocalyptic number.

101609850168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101609850168 is an abundant number, since it is smaller than the sum of its proper divisors (180691090632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101609850168 is a wasteful number, since it uses less digits than its factorization.

101609850168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85609 (or 85599 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 101609850168 in words is "one hundred one billion, six hundred nine million, eight hundred fifty thousand, one hundred sixty-eight".