100896768 has 312 divisors, whose sum is σ = 368005248. Its totient is φ = 25952256.

The previous prime is 100896767. The next prime is 100896769. The reversal of 100896768 is 867698001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100896767) and next prime (100896769).

It is not an unprimeable number, because it can be changed into a prime (100896767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4386805 + ... + 4386827.

It is an arithmetic number, because the mean of its divisors is an integer number (1179504).

Almost surely, 2^100896768 is an apocalyptic number.

100896768 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 100896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184002624).

100896768 is an abundant number, since it is smaller than the sum of its proper divisors (267108480).

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

100896768 is a wasteful number, since it uses less digits than its factorization.

100896768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 100896768 is about 10044.7383241178. The cubic root of 100896768 is about 465.5422325326.

The spelling of 100896768 in words is "one hundred million, eight hundred ninety-six thousand, seven hundred sixty-eight".