105633121 has 24 divisors (see below), whose sum is σ = 124535880. Its totient is φ = 89210880.

The previous prime is 105633067. The next prime is 105633127. The reversal of 105633121 is 121336501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46512400 + 59120721 = 6820^2 + 7689^2 .

It is not a de Polignac number, because 105633121 - 2¹³ = 105624929 is a prime.

It is a super-2 number, since 2×105633121² = 22316712504401282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105633092 and 105633101.

It is not an unprimeable number, because it can be changed into a prime (105633127) 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, 182785 + ... + 183361.

It is an arithmetic number, because the mean of its divisors is an integer number (5188995).

Almost surely, 2^105633121 is an apocalyptic number.

105633121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105633121 is a deficient number, since it is larger than the sum of its proper divisors (18902759).

105633121 is a wasteful number, since it uses less digits than its factorization.

105633121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 105633121 is about 10277.7974780592. The cubic root of 105633121 is about 472.7157116267.

Adding to 105633121 its reverse (121336501), we get a palindrome (226969622).

The spelling of 105633121 in words is "one hundred five million, six hundred thirty-three thousand, one hundred twenty-one".