101256168 has 192 divisors, whose sum is σ = 307238400. Its totient is φ = 27578880.

The previous prime is 101256163. The next prime is 101256179. The reversal of 101256168 is 861652101.

It is not an unprimeable number, because it can be changed into a prime (101256163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3266313 + ... + 3266343.

It is an arithmetic number, because the mean of its divisors is an integer number (1600200).

Almost surely, 2^101256168 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 101256168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

101256168 is an abundant number, since it is smaller than the sum of its proper divisors (205982232).

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

101256168 is a wasteful number, since it uses less digits than its factorization.

101256168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 101256168 is about 10062.6123844656. The cubic root of 101256168 is about 466.0943401009.

The spelling of 101256168 in words is "one hundred one million, two hundred fifty-six thousand, one hundred sixty-eight".