100440368 has 40 divisors (see below), whose sum is σ = 223914240. Its totient is φ = 42753600.

The previous prime is 100440349. The next prime is 100440377. The reversal of 100440368 is 863044001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13943 + ... + 19881.

It is an arithmetic number, because the mean of its divisors is an integer number (5597856).

Almost surely, 2^100440368 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 100440368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111957120).

100440368 is an abundant number, since it is smaller than the sum of its proper divisors (123473872).

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

100440368 is a wasteful number, since it uses less digits than its factorization.

100440368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6105 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 100440368 is about 10021.9942127303. The cubic root of 100440368 is about 464.8392214032.

Adding to 100440368 its reverse (863044001), we get a palindrome (963484369).

The spelling of 100440368 in words is "one hundred million, four hundred forty thousand, three hundred sixty-eight".