106532480 has 32 divisors (see below), whose sum is σ = 254680740. Its totient is φ = 42612736.

The previous prime is 106532471. The next prime is 106532483. The reversal of 106532480 is 84235601.

It can be written as a sum of positive squares in 2 ways, for example, as 99520576 + 7011904 = 9976^2 + 2648^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×106532480² = 22698338589900800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106532483) 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 3 ways as a sum of consecutive naturals, for example, 82589 + ... + 83868.

Almost surely, 2^106532480 is an apocalyptic number.

106532480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106532480 is an abundant number, since it is smaller than the sum of its proper divisors (148148260).

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

106532480 is an equidigital number, since it uses as much as digits as its factorization.

106532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166476 (or 166464 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 106532480 is about 10321.4572614530. The cubic root of 106532480 is about 474.0534872908.

The spelling of 106532480 in words is "one hundred six million, five hundred thirty-two thousand, four hundred eighty".