101414115 has 96 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 45273600.

The previous prime is 101414111. The next prime is 101414123. The reversal of 101414115 is 511414101.

It is not a de Polignac number, because 101414115 - 2² = 101414111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101414111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385474 + ... + 385736.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2^101414115 is an apocalyptic number.

101414115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101414115 is an abundant number, since it is smaller than the sum of its proper divisors (106153245).

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

101414115 is a wasteful number, since it uses less digits than its factorization.

101414115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 101414115 is about 10070.4575367756. The cubic root of 101414115 is about 466.3365638881.

Adding to 101414115 its reverse (511414101), we get a palindrome (612828216).

It can be divided in two parts, 1014 and 14115, that added together give a square (15129 = 123²).

The spelling of 101414115 in words is "one hundred one million, four hundred fourteen thousand, one hundred fifteen".