105535122 has 48 divisors (see below), whose sum is σ = 267859872. Its totient is φ = 27410880.

The previous prime is 105535121. The next prime is 105535123. The reversal of 105535122 is 221535501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105535121) and next prime (105535123).

It is a super-2 number, since 2×105535122² = 22275323951109768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105535092 and 105535101.

It is not an unprimeable number, because it can be changed into a prime (105535121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13083 + ... + 19550.

It is an arithmetic number, because the mean of its divisors is an integer number (5580414).

Almost surely, 2^105535122 is an apocalyptic number.

105535122 is an abundant number, since it is smaller than the sum of its proper divisors (162324750).

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

105535122 is a wasteful number, since it uses less digits than its factorization.

105535122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32663 (or 32656 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 105535122 is about 10273.0288620251. The cubic root of 105535122 is about 472.5694822374.

The spelling of 105535122 in words is "one hundred five million, five hundred thirty-five thousand, one hundred twenty-two".