100113314 has 16 divisors (see below), whose sum is σ = 172189248. Its totient is φ = 42764112.

The previous prime is 100113313. The next prime is 100113329. The reversal of 100113314 is 413311001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (100113311) 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 7 ways as a sum of consecutive naturals, for example, 7349 + ... + 15944.

It is an arithmetic number, because the mean of its divisors is an integer number (10761828).

Almost surely, 2^100113314 is an apocalyptic number.

100113314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100113314 is a deficient number, since it is larger than the sum of its proper divisors (72075934).

100113314 is a wasteful number, since it uses less digits than its factorization.

100113314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23609.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 100113314 is about 10005.6640959009. The cubic root of 100113314 is about 464.3341361816.

Adding to 100113314 its reverse (413311001), we get a palindrome (513424315).

The spelling of 100113314 in words is "one hundred million, one hundred thirteen thousand, three hundred fourteen".