100707168 has 48 divisors (see below), whose sum is σ = 266293440. Its totient is φ = 33323136.

The previous prime is 100707151. The next prime is 100707197. The reversal of 100707168 is 861707001.

It is a tau number, because it is divible by the number of its divisors (48).

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, 9571 + ... + 17117.

It is an arithmetic number, because the mean of its divisors is an integer number (5547780).

Almost surely, 2^100707168 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 100707168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133146720).

100707168 is an abundant number, since it is smaller than the sum of its proper divisors (165586272).

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

100707168 is a wasteful number, since it uses less digits than its factorization.

100707168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7699 (or 7691 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 100707168 is about 10035.2961092336. The cubic root of 100707168 is about 465.2504420368.

The spelling of 100707168 in words is "one hundred million, seven hundred seven thousand, one hundred sixty-eight".