101163168 has 120 divisors (see below), whose sum is σ = 307359360. Its totient is φ = 32607360.

The previous prime is 101163121. The next prime is 101163169. The reversal of 101163168 is 861361101.

101163168 is a `hidden beast` number, since 10 + 11 + 631 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101163169) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79723 + ... + 80981.

It is an arithmetic number, because the mean of its divisors is an integer number (2561328).

Almost surely, 2^101163168 is an apocalyptic number.

101163168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101163168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153679680).

101163168 is an abundant number, since it is smaller than the sum of its proper divisors (206196192).

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

101163168 is a wasteful number, since it uses less digits than its factorization.

101163168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101163168 is about 10057.9902565075. The cubic root of 101163168 is about 465.9515996567.

The spelling of 101163168 in words is "one hundred one million, one hundred sixty-three thousand, one hundred sixty-eight".