105422520 has 96 divisors (see below), whose sum is σ = 367923600. Its totient is φ = 24095232.

The previous prime is 105422519. The next prime is 105422531. The reversal of 105422520 is 25224501.

It is a happy number.

It is a super-2 number, since 2×105422520² = 22227815446300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3085 + ... + 14844.

Almost surely, 2^105422520 is an apocalyptic number.

105422520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105422520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183961800).

105422520 is an abundant number, since it is smaller than the sum of its proper divisors (262501080).

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

105422520 is a wasteful number, since it uses less digits than its factorization.

105422520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17957 (or 17946 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 105422520 is about 10267.5469319599. The cubic root of 105422520 is about 472.4013511476.

The spelling of 105422520 in words is "one hundred five million, four hundred twenty-two thousand, five hundred twenty".