106546041 has 18 divisors (see below), whose sum is σ = 179027082. Its totient is φ = 60883200.

The previous prime is 106546031. The next prime is 106546049. The reversal of 106546041 is 140645601.

106546041 is a `hidden beast` number, since 1 + 0 + 6 + 54 + 604 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88906041 + 17640000 = 9429^2 + 4200^2 .

It is not a de Polignac number, because 106546041 - 2¹⁰ = 106545017 is a prime.

It is a super-2 number, since 2×106546041² = 22704117705547362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106545996 and 106546014.

It is not an unprimeable number, because it can be changed into a prime (106546049) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120360 + ... + 121241.

It is an arithmetic number, because the mean of its divisors is an integer number (9945949).

Almost surely, 2^106546041 is an apocalyptic number.

It is an amenable number.

106546041 is a deficient number, since it is larger than the sum of its proper divisors (72481041).

106546041 is a wasteful number, since it uses less digits than its factorization.

106546041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241621 (or 241611 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106546041 is about 10322.1141729783. The cubic root of 106546041 is about 474.0736012397.

The spelling of 106546041 in words is "one hundred six million, five hundred forty-six thousand, forty-one".