100039368 has 128 divisors (see below), whose sum is σ = 297722880. Its totient is φ = 27613440.

The previous prime is 100039363. The next prime is 100039391. The reversal of 100039368 is 863930001.

It is not an unprimeable number, because it can be changed into a prime (100039363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353355 + ... + 353637.

It is an arithmetic number, because the mean of its divisors is an integer number (2325960).

Almost surely, 2^100039368 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 100039368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148861440).

100039368 is an abundant number, since it is smaller than the sum of its proper divisors (197683512).

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

100039368 is a wasteful number, since it uses less digits than its factorization.

100039368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 100039368 is about 10001.9682063082. The cubic root of 100039368 is about 464.2197853931.

Adding to 100039368 its reverse (863930001), we get a palindrome (963969369).

The spelling of 100039368 in words is "one hundred million, thirty-nine thousand, three hundred sixty-eight".