106461 has 8 divisors (see below), whose sum is σ = 157760. Its totient is φ = 70956.

The previous prime is 106453. The next prime is 106487. The reversal of 106461 is 164601.

It is not a de Polignac number, because 106461 - 2³ = 106453 is a prime.

It is a super-2 number, since 2×106461² = 22667889042, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106411) 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 7 ways as a sum of consecutive naturals, for example, 1945 + ... + 1998.

It is an arithmetic number, because the mean of its divisors is an integer number (19720).

2¹⁰⁶⁴⁶¹ is an apocalyptic number.

It is an amenable number.

106461 is a deficient number, since it is larger than the sum of its proper divisors (51299).

106461 is an equidigital number, since it uses as much as digits as its factorization.

106461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106461 is about 326.2836189575. The cubic root of 106461 is about 47.3947438492.

The spelling of 106461 in words is "one hundred six thousand, four hundred sixty-one".