101983168 has 56 divisors (see below), whose sum is σ = 232513632. Its totient is φ = 43474944.

The previous prime is 101983163. The next prime is 101983171. The reversal of 101983168 is 861389101.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101983163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103896 + ... + 104872.

Almost surely, 2^101983168 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 101983168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116256816).

101983168 is an abundant number, since it is smaller than the sum of its proper divisors (130530464).

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

101983168 is an equidigital number, since it uses as much as digits as its factorization.

101983168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 101983168 is about 10098.6715958090. The cubic root of 101983168 is about 467.2071705599.

It can be divided in two parts, 10198 and 3168, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 101983168 in words is "one hundred one million, nine hundred eighty-three thousand, one hundred sixty-eight".