100065768 has 64 divisors (see below), whose sum is σ = 281733120. Its totient is φ = 29342400.

The previous prime is 100065751. The next prime is 100065781. The reversal of 100065768 is 867560001.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2071 + ... + 14297.

It is an arithmetic number, because the mean of its divisors is an integer number (4402080).

Almost surely, 2^100065768 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 100065768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140866560).

100065768 is an abundant number, since it is smaller than the sum of its proper divisors (181667352).

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

100065768 is a wasteful number, since it uses less digits than its factorization.

100065768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12278 (or 12274 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 100065768 is about 10003.2878594990. The cubic root of 100065768 is about 464.2606170666.

The spelling of 100065768 in words is "one hundred million, sixty-five thousand, seven hundred sixty-eight".