314104100 has 72 divisors (see below), whose sum is σ = 730661568. Its totient is φ = 116899200.

The previous prime is 314104099. The next prime is 314104103. The reversal of 314104100 is 1401413.

It is a happy number.

It is a super-2 number, since 2×314104100² = 197322771273620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314104103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83255 + ... + 86945.

Almost surely, 2^314104100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365330784).

314104100 is an abundant number, since it is smaller than the sum of its proper divisors (416557468).

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

314104100 is a wasteful number, since it uses less digits than its factorization.

314104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 314104100 is about 17722.9822546884. The cubic root of 314104100 is about 679.7635423532.

Adding to 314104100 its reverse (1401413), we get a palindrome (315505513).

The spelling of 314104100 in words is "three hundred fourteen million, one hundred four thousand, one hundred".