101314304 has 72 divisors (see below), whose sum is σ = 248959200. Its totient is φ = 40071168.

The previous prime is 101314273. The next prime is 101314309. The reversal of 101314304 is 403413101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101314309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21122 + ... + 25470.

Almost surely, 2^101314304 is an apocalyptic number.

101314304 is a gapful number since it is divisible by the number (14) 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 101314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124479600).

101314304 is an abundant number, since it is smaller than the sum of its proper divisors (147644896).

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

101314304 is an equidigital number, since it uses as much as digits as its factorization.

101314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 101314304 is about 10065.5006830262. The cubic root of 101314304 is about 466.1835253719.

Adding to 101314304 its reverse (403413101), we get a palindrome (504727405).

The spelling of 101314304 in words is "one hundred one million, three hundred fourteen thousand, three hundred four".