214123104 has 72 divisors (see below), whose sum is σ = 655763472. Its totient is φ = 65882880.

The previous prime is 214123097. The next prime is 214123111. The reversal of 214123104 is 401321412.

It is an interprime number because it is at equal distance from previous prime (214123097) and next prime (214123111).

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 24852 + ... + 32339.

It is an arithmetic number, because the mean of its divisors is an integer number (9107826).

Almost surely, 2^214123104 is an apocalyptic number.

214123104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214123104 is an abundant number, since it is smaller than the sum of its proper divisors (441640368).

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

214123104 is a wasteful number, since it uses less digits than its factorization.

214123104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57220 (or 57209 counting only the distinct ones).

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

The square root of 214123104 is about 14632.9458414907. The cubic root of 214123104 is about 598.2570752580.

Adding to 214123104 its reverse (401321412), we get a palindrome (615444516).

The spelling of 214123104 in words is "two hundred fourteen million, one hundred twenty-three thousand, one hundred four".