100114608 has 80 divisors (see below), whose sum is σ = 284553216. Its totient is φ = 30078720.

The previous prime is 100114601. The next prime is 100114631. The reversal of 100114608 is 806411001.

It is not an unprimeable number, because it can be changed into a prime (100114601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66310 + ... + 67802.

Almost surely, 2^100114608 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 100114608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142276608).

100114608 is an abundant number, since it is smaller than the sum of its proper divisors (184438608).

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

100114608 is a wasteful number, since it uses less digits than its factorization.

100114608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 100114608 is about 10005.7287590660. The cubic root of 100114608 is about 464.3361367340.

Adding to 100114608 its reverse (806411001), we get a palindrome (906525609).

The spelling of 100114608 in words is "one hundred million, one hundred fourteen thousand, six hundred eight".