314216100 has 216 divisors, whose sum is σ = 1138239648. Its totient is φ = 71654400.

The previous prime is 314216081. The next prime is 314216113. The reversal of 314216100 is 1612413.

It is a happy number.

314216100 is a `hidden beast` number, since 31 + 4 + 21 + 610 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167367 + ... + 169233.

It is an arithmetic number, because the mean of its divisors is an integer number (5269628).

Almost surely, 2^314216100 is an apocalyptic number.

314216100 is a gapful number since it is divisible by the number (30) 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 314216100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569119824).

314216100 is an abundant number, since it is smaller than the sum of its proper divisors (824023548).

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

314216100 is a wasteful number, since it uses less digits than its factorization.

314216100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 314216100 is about 17726.1417121719. The cubic root of 314216100 is about 679.8443271095.

Adding to 314216100 its reverse (1612413), we get a palindrome (315828513).

The spelling of 314216100 in words is "three hundred fourteen million, two hundred sixteen thousand, one hundred".