106477 has 12 divisors (see below), whose sum is σ = 129276. Its totient is φ = 87360.

The previous prime is 106453. The next prime is 106487. The reversal of 106477 is 774601.

It can be written as a sum of positive squares in 2 ways, for example, as 35721 + 70756 = 189^2 + 266^2 .

It is not a de Polignac number, because 106477 - 2⁷ = 106349 is a prime.

It is a super-2 number, since 2×106477² = 22674703058, which contains 22 as substring.

It is an Ulam number.

106477 is a modest number, since divided by 477 gives 106 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106417) 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 11 ways as a sum of consecutive naturals, for example, 1983 + ... + 2035.

It is an arithmetic number, because the mean of its divisors is an integer number (10773).

2¹⁰⁶⁴⁷⁷ is an apocalyptic number.

It is an amenable number.

106477 is a deficient number, since it is larger than the sum of its proper divisors (22799).

106477 is an equidigital number, since it uses as much as digits as its factorization.

106477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 106477 is about 326.3081365826. The cubic root of 106477 is about 47.3971180454.

It can be divided in two parts, 10647 and 7, that multiplied together give a square (74529 = 273²).

The spelling of 106477 in words is "one hundred six thousand, four hundred seventy-seven".