105121422 has 128 divisors (see below), whose sum is σ = 279982080. Its totient is φ = 28615680.

The previous prime is 105121411. The next prime is 105121427. The reversal of 105121422 is 224121501.

105121422 is a `hidden beast` number, since 10 + 512 + 142 + 2 = 666.

It is a super-2 number, since 2×105121422² = 22101026726604168, which contains 22 as substring.

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 = 105121395 and 105121404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105121427) 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, 1083678 + ... + 1083774.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 2^105121422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105121422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139991040).

105121422 is an abundant number, since it is smaller than the sum of its proper divisors (174860658).

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

105121422 is a wasteful number, since it uses less digits than its factorization.

105121422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

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

The square root of 105121422 is about 10252.8738410262. The cubic root of 105121422 is about 471.9511793563.

Adding to 105121422 its reverse (224121501), we get a palindrome (329242923).

The spelling of 105121422 in words is "one hundred five million, one hundred twenty-one thousand, four hundred twenty-two".