100531314 has 64 divisors (see below), whose sum is σ = 244097280. Its totient is φ = 30481920.

The previous prime is 100531307. The next prime is 100531349. The reversal of 100531314 is 413135001.

100531314 is a `hidden beast` number, since 100 + 531 + 31 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48834 + ... + 50850.

It is an arithmetic number, because the mean of its divisors is an integer number (3814020).

Almost surely, 2^100531314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100531314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122048640).

100531314 is an abundant number, since it is smaller than the sum of its proper divisors (143565966).

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

100531314 is a wasteful number, since it uses less digits than its factorization.

100531314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 100531314 is about 10026.5305066109. The cubic root of 100531314 is about 464.9794788030.

Adding to 100531314 its reverse (413135001), we get a palindrome (513666315).

The spelling of 100531314 in words is "one hundred million, five hundred thirty-one thousand, three hundred fourteen".