101621168 has 40 divisors (see below), whose sum is σ = 215986176. Its totient is φ = 45934400.

The previous prime is 101621167. The next prime is 101621171. The reversal of 101621168 is 861126101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101621161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32105 + ... + 35127.

Almost surely, 2^101621168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101621168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088).

101621168 is an abundant number, since it is smaller than the sum of its proper divisors (114365008).

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

101621168 is a wasteful number, since it uses less digits than its factorization.

101621168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 101621168 is about 10080.7325130667. The cubic root of 101621168 is about 466.6537148333.

Adding to 101621168 its reverse (861126101), we get a palindrome (962747269).

The spelling of 101621168 in words is "one hundred one million, six hundred twenty-one thousand, one hundred sixty-eight".