214142100 has 36 divisors (see below), whose sum is σ = 619585344. Its totient is φ = 57104480.

The previous prime is 214142077. The next prime is 214142129. The reversal of 214142100 is 1241412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 214142100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356604 + ... + 357203.

It is an arithmetic number, because the mean of its divisors is an integer number (17210704).

Almost surely, 2^214142100 is an apocalyptic number.

214142100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214142100 is an abundant number, since it is smaller than the sum of its proper divisors (405443244).

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

214142100 is a wasteful number, since it uses less digits than its factorization.

214142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713824 (or 713817 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 214142100 is about 14633.5949103424. The cubic root of 214142100 is about 598.2747662578.

Adding to 214142100 its reverse (1241412), we get a palindrome (215383512).

The spelling of 214142100 in words is "two hundred fourteen million, one hundred forty-two thousand, one hundred".