100114116 has 48 divisors (see below), whose sum is σ = 246644160. Its totient is φ = 31518720.

The previous prime is 100114099. The next prime is 100114117. The reversal of 100114116 is 611411001.

It is a super-2 number, since 2×100114116² = 20045672444922912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100114095 and 100114104.

It is not an unprimeable number, because it can be changed into a prime (100114117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131176 + ... + 131936.

It is an arithmetic number, because the mean of its divisors is an integer number (5138420).

Almost surely, 2^100114116 is an apocalyptic number.

It is an amenable number.

100114116 is an abundant number, since it is smaller than the sum of its proper divisors (146530044).

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

100114116 is a wasteful number, since it uses less digits than its factorization.

100114116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 100114116 is about 10005.7041731205. The cubic root of 100114116 is about 464.3353760933.

Adding to 100114116 its reverse (611411001), we get a palindrome (711525117).

The spelling of 100114116 in words is "one hundred million, one hundred fourteen thousand, one hundred sixteen".