105122101 has 24 divisors (see below), whose sum is σ = 130913496. Its totient is φ = 83865600.

The previous prime is 105122089. The next prime is 105122119. The reversal of 105122101 is 101221501.

It can be written as a sum of positive squares in 4 ways, for example, as 2099601 + 103022500 = 1449^2 + 10150^2 .

It is not a de Polignac number, because 105122101 - 2¹⁵ = 105089333 is a prime.

It is a super-2 number, since 2×105122101² = 22101312237308402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105122201) 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, 80151 + ... + 81451.

It is an arithmetic number, because the mean of its divisors is an integer number (5454729).

Almost surely, 2^105122101 is an apocalyptic number.

It is an amenable number.

105122101 is a deficient number, since it is larger than the sum of its proper divisors (25791395).

105122101 is a wasteful number, since it uses less digits than its factorization.

105122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 105122101 is about 10252.9069536400. The cubic root of 105122101 is about 471.9521954960.

Adding to 105122101 its reverse (101221501), we get a palindrome (206343602).

The spelling of 105122101 in words is "one hundred five million, one hundred twenty-two thousand, one hundred one".