205101414 has 48 divisors (see below), whose sum is σ = 517469472. Its totient is φ = 57492864.

The previous prime is 205101401. The next prime is 205101431. The reversal of 205101414 is 414101502.

205101414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8679 + ... + 22034.

It is an arithmetic number, because the mean of its divisors is an integer number (10780614).

Almost surely, 2^205101414 is an apocalyptic number.

205101414 is an abundant number, since it is smaller than the sum of its proper divisors (312368058).

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

205101414 is a wasteful number, since it uses less digits than its factorization.

205101414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30781 (or 30778 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 205101414 is about 14321.3621558845. The cubic root of 205101414 is about 589.7340695645.

Adding to 205101414 its reverse (414101502), we get a palindrome (619202916).

The spelling of 205101414 in words is "two hundred five million, one hundred one thousand, four hundred fourteen".