122105436 has 48 divisors (see below), whose sum is σ = 303657984. Its totient is φ = 38099776.

The previous prime is 122105429. The next prime is 122105437. The reversal of 122105436 is 634501221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122105437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8266 + ... + 17678.

It is an arithmetic number, because the mean of its divisors is an integer number (6326208).

Almost surely, 2^122105436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122105436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151828992).

122105436 is an abundant number, since it is smaller than the sum of its proper divisors (181552548).

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

122105436 is a wasteful number, since it uses less digits than its factorization.

122105436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9490 (or 9488 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 122105436 is about 11050.1328498801. The cubic root of 122105436 is about 496.1104018466.

Adding to 122105436 its reverse (634501221), we get a palindrome (756606657).

The spelling of 122105436 in words is "one hundred twenty-two million, one hundred five thousand, four hundred thirty-six".