106484 has 12 divisors (see below), whose sum is σ = 213024. Its totient is φ = 45624.

The previous prime is 106453. The next prime is 106487. The reversal of 106484 is 484601.

106484 = 13² + 14² + ... + 68².

It is a happy number.

106484 is an admirable number.

It is a super-2 number, since 2×106484² = 22677684512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106484.

It is not an unprimeable number, because it can be changed into a prime (106487) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1874 + ... + 1929.

It is an arithmetic number, because the mean of its divisors is an integer number (17752).

2¹⁰⁶⁴⁸⁴ is an apocalyptic number.

106484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106484 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106484 is a wasteful number, since it uses less digits than its factorization.

106484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 106484 is about 326.3188624643. The cubic root of 106484 is about 47.3981566814.

The spelling of 106484 in words is "one hundred six thousand, four hundred eighty-four".