100114686 has 144 divisors (see below), whose sum is σ = 273881088. Its totient is φ = 25855200.

The previous prime is 100114669. The next prime is 100114687. The reversal of 100114686 is 686411001.

It is a super-3 number, since 3×100114686³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100114687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1410031 + ... + 1410101.

It is an arithmetic number, because the mean of its divisors is an integer number (1901952).

Almost surely, 2^100114686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100114686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136940544).

100114686 is an abundant number, since it is smaller than the sum of its proper divisors (173766402).

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

100114686 is a wasteful number, since it uses less digits than its factorization.

100114686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 100114686 is about 10005.7326568323. The cubic root of 100114686 is about 464.3362573232.

Adding to 100114686 its reverse (686411001), we get a palindrome (786525687).

The spelling of 100114686 in words is "one hundred million, one hundred fourteen thousand, six hundred eighty-six".