214105122 has 96 divisors (see below), whose sum is σ = 582266880. Its totient is φ = 55236960.

The previous prime is 214105121. The next prime is 214105141. The reversal of 214105122 is 221501412.

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

It is a junction number, because it is equal to n+sod(n) for n = 214105095 and 214105104.

It is not an unprimeable number, because it can be changed into a prime (214105121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247663 + ... + 248525.

It is an arithmetic number, because the mean of its divisors is an integer number (6065280).

Almost surely, 2^214105122 is an apocalyptic number.

214105122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 214105122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291133440).

214105122 is an abundant number, since it is smaller than the sum of its proper divisors (368161758).

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

214105122 is a wasteful number, since it uses less digits than its factorization.

214105122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1065 counting only the distinct ones).

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

The square root of 214105122 is about 14632.3313931854. The cubic root of 214105122 is about 598.2403276337.

Adding to 214105122 its reverse (221501412), we get a palindrome (435606534).

The spelling of 214105122 in words is "two hundred fourteen million, one hundred five thousand, one hundred twenty-two".