101415314 has 64 divisors (see below), whose sum is σ = 206115840. Its totient is φ = 36141120.

The previous prime is 101415311. The next prime is 101415329. The reversal of 101415314 is 413514101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101415311) 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 31 ways as a sum of consecutive naturals, for example, 358217 + ... + 358499.

It is an arithmetic number, because the mean of its divisors is an integer number (3220560).

Almost surely, 2^101415314 is an apocalyptic number.

101415314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101415314 is an abundant number, since it is smaller than the sum of its proper divisors (104700526).

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

101415314 is a wasteful number, since it uses less digits than its factorization.

101415314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 101415314 is about 10070.5170671619. The cubic root of 101415314 is about 466.3384016840.

Adding to 101415314 its reverse (413514101), we get a palindrome (514929415).

The spelling of 101415314 in words is "one hundred one million, four hundred fifteen thousand, three hundred fourteen".