100314000 has 120 divisors (see below), whose sum is σ = 350426232. Its totient is φ = 26745600.

The previous prime is 100313989. The next prime is 100314007. The reversal of 100314000 is 413001.

It can be written as a sum of positive squares in 4 ways, for example, as 23155344 + 77158656 = 4812^2 + 8784^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100314007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15214 + ... + 20786.

Almost surely, 2^100314000 is an apocalyptic number.

100314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175213116).

100314000 is an abundant number, since it is smaller than the sum of its proper divisors (250112232).

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

100314000 is a wasteful number, since it uses less digits than its factorization.

100314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100314000 is about 10015.6876948116. The cubic root of 100314000 is about 464.6441953865.

Adding to 100314000 its reverse (413001), we get a palindrome (100727001).

Subtracting from 100314000 its reverse (413001), we obtain a palindrome (99900999).

The spelling of 100314000 in words is "one hundred million, three hundred fourteen thousand".