106588041 has 16 divisors (see below), whose sum is σ = 163860864. Its totient is φ = 60367104.

The previous prime is 106588037. The next prime is 106588051. The reversal of 106588041 is 140885601.

It is not a de Polignac number, because 106588041 - 2² = 106588037 is a prime.

It is a super-2 number, since 2×106588041² = 22722020968435362, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106587993 and 106588011.

It is not an unprimeable number, because it can be changed into a prime (106588051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20086 + ... + 24831.

It is an arithmetic number, because the mean of its divisors is an integer number (10241304).

Almost surely, 2^106588041 is an apocalyptic number.

It is an amenable number.

106588041 is a deficient number, since it is larger than the sum of its proper divisors (57272823).

106588041 is a wasteful number, since it uses less digits than its factorization.

106588041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45040.

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 106588041 is about 10324.1484394598. The cubic root of 106588041 is about 474.1358856611.

The spelling of 106588041 in words is "one hundred six million, five hundred eighty-eight thousand, forty-one".