106601121 has 30 divisors (see below), whose sum is σ = 169585650. Its totient is φ = 64526880.

The previous prime is 106601083. The next prime is 106601137. The reversal of 106601121 is 121106601.

106601121 is a `hidden beast` number, since 1 + 0 + 660 + 1 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103306896 + 3294225 = 10164^2 + 1815^2 .

It is not a de Polignac number, because 106601121 - 2⁶ = 106601057 is a prime.

It is a super-2 number, since 2×106601121² = 22727597996913282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106601094 and 106601103.

It is not an unprimeable number, because it can be changed into a prime (106601161) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 131365 + ... + 132173.

It is an arithmetic number, because the mean of its divisors is an integer number (5652855).

Almost surely, 2^106601121 is an apocalyptic number.

106601121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106601121 is a deficient number, since it is larger than the sum of its proper divisors (62984529).

106601121 is an frugal number, since it uses more digits than its factorization.

106601121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 106601121 is about 10324.7818863160. The cubic root of 106601121 is about 474.1552794682.

Adding to 106601121 its reverse (121106601), we get a palindrome (227707722).

It can be divided in two parts, 10660 and 1121, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 106601121 in words is "one hundred six million, six hundred one thousand, one hundred twenty-one".