101959168 has 80 divisors (see below), whose sum is σ = 219985920. Its totient is φ = 47056896.

The previous prime is 101959133. The next prime is 101959171. The reversal of 101959168 is 861959101.

It is a self number, because there is not a number n which added to its sum of digits gives 101959168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457105 + ... + 457327.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 2^101959168 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 101959168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

101959168 is an abundant number, since it is smaller than the sum of its proper divisors (118026752).

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

101959168 is an equidigital number, since it uses as much as digits as its factorization.

101959168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 40.

The square root of 101959168 is about 10097.4832507908. The cubic root of 101959168 is about 467.1705179369.

The spelling of 101959168 in words is "one hundred one million, nine hundred fifty-nine thousand, one hundred sixty-eight".