214142103 has 64 divisors (see below), whose sum is σ = 389760000. Its totient is φ = 115831296.

The previous prime is 214142077. The next prime is 214142129. The reversal of 214142103 is 301241412.

214142103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214142077) and next prime (214142129).

It is not a de Polignac number, because 214142103 - 2⁸ = 214141847 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214142143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175351 + ... + 176567.

It is an arithmetic number, because the mean of its divisors is an integer number (6090000).

Almost surely, 2^214142103 is an apocalyptic number.

214142103 is a deficient number, since it is larger than the sum of its proper divisors (175617897).

214142103 is a wasteful number, since it uses less digits than its factorization.

214142103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214142103 is about 14633.5950128463. The cubic root of 214142103 is about 598.2747690516.

Adding to 214142103 its reverse (301241412), we get a palindrome (515383515).

It can be divided in two parts, 2141 and 42103, that added together give a palindrome (44244).

The spelling of 214142103 in words is "two hundred fourteen million, one hundred forty-two thousand, one hundred three".