106500555 has 64 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 48384000.

The previous prime is 106500553. The next prime is 106500599. The reversal of 106500555 is 555005601.

106500555 is a `hidden beast` number, since 1 + 0 + 650 + 0 + 5 + 5 + 5 = 666.

It is not a de Polignac number, because 106500555 - 2¹ = 106500553 is a prime.

It is a super-2 number, since 2×106500555² = 22684736430616050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106500553) 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 63 ways as a sum of consecutive naturals, for example, 236971 + ... + 237419.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^106500555 is an apocalyptic number.

106500555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106500555 is an abundant number, since it is smaller than the sum of its proper divisors (111227445).

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

106500555 is a wasteful number, since it uses less digits than its factorization.

106500555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 106500555 is about 10319.9106100780. The cubic root of 106500555 is about 474.0061287463.

The spelling of 106500555 in words is "one hundred six million, five hundred thousand, five hundred fifty-five".