100023168 has 128 divisors (see below), whose sum is σ = 307077120. Its totient is φ = 28256256.

The previous prime is 100023139. The next prime is 100023221. The reversal of 100023168 is 861320001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341230 + ... + 341522.

It is an arithmetic number, because the mean of its divisors is an integer number (2399040).

Almost surely, 2^100023168 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 100023168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153538560).

100023168 is an abundant number, since it is smaller than the sum of its proper divisors (207053952).

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

100023168 is a wasteful number, since it uses less digits than its factorization.

100023168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 100023168 is about 10001.1583329132. The cubic root of 100023168 is about 464.1947260368.

Adding to 100023168 its reverse (861320001), we get a palindrome (961343169).

The spelling of 100023168 in words is "one hundred million, twenty-three thousand, one hundred sixty-eight".