100151168 has 64 divisors (see below), whose sum is σ = 216913200. Its totient is φ = 45785088.

The previous prime is 100151167. The next prime is 100151179. The reversal of 100151168 is 861151001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100151167) 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, 231080 + ... + 231512.

Almost surely, 2^100151168 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 100151168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108456600).

100151168 is an abundant number, since it is smaller than the sum of its proper divisors (116762032).

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

100151168 is a wasteful number, since it uses less digits than its factorization.

100151168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 23.

The square root of 100151168 is about 10007.5555456865. Note that the first 4 decimals coincide. The cubic root of 100151168 is about 464.3926521732.

The spelling of 100151168 in words is "one hundred million, one hundred fifty-one thousand, one hundred sixty-eight".