106505580 has 48 divisors (see below), whose sum is σ = 298708704. Its totient is φ = 28354560.

The previous prime is 106505579. The next prime is 106505587. The reversal of 106505580 is 85505601.

It is a happy number.

It is a super-3 number, since 3×106505580³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (106505587) 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 15 ways as a sum of consecutive naturals, for example, 50140 + ... + 52220.

It is an arithmetic number, because the mean of its divisors is an integer number (6223098).

Almost surely, 2^106505580 is an apocalyptic number.

106505580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106505580 is an abundant number, since it is smaller than the sum of its proper divisors (192203124).

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

106505580 is a wasteful number, since it uses less digits than its factorization.

106505580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 106505580 is about 10320.1540686174. The cubic root of 106505580 is about 474.0135836161.

The spelling of 106505580 in words is "one hundred six million, five hundred five thousand, five hundred eighty".