106480 has 40 divisors (see below), whose sum is σ = 272304. Its totient is φ = 38720.

The previous prime is 106453. The next prime is 106487. The reversal of 106480 is 84601.

106480 = 40² + 41² + ... + 72².

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106480² = 22675980800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 11.

It is a zygodrome in base 2.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9675 + ... + 9685.

2¹⁰⁶⁴⁸⁰ is an apocalyptic number.

106480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136152).

106480 is an abundant number, since it is smaller than the sum of its proper divisors (165824).

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

106480 is an equidigital number, since it uses as much as digits as its factorization.

106480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 106480 is about 326.3127334322. The cubic root of 106480 is about 47.3975631807.

The spelling of 106480 in words is "one hundred six thousand, four hundred eighty".