100039712 has 48 divisors (see below), whose sum is σ = 212970240. Its totient is φ = 46096128.

The previous prime is 100039669. The next prime is 100039717. The reversal of 100039712 is 217930001.

It is not an unprimeable number, because it can be changed into a prime (100039717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20273 + ... + 24719.

It is an arithmetic number, because the mean of its divisors is an integer number (4436880).

Almost surely, 2^100039712 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 100039712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106485120).

100039712 is an abundant number, since it is smaller than the sum of its proper divisors (112930528).

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

100039712 is a wasteful number, since it uses less digits than its factorization.

100039712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 100039712 is about 10001.9854029088. The cubic root of 100039712 is about 464.2203174883.

Adding to 100039712 its reverse (217930001), we get a palindrome (317969713).

The spelling of 100039712 in words is "one hundred million, thirty-nine thousand, seven hundred twelve".