106505056 has 24 divisors (see below), whose sum is σ = 239636880. Its totient is φ = 45644928.

The previous prime is 106505053. The next prime is 106505059. The reversal of 106505056 is 650505601.

It is an interprime number because it is at equal distance from previous prime (106505053) and next prime (106505059).

It is a super-2 number, since 2×106505056² = 22686653907126272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106505053) 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, 237511 + ... + 237958.

It is an arithmetic number, because the mean of its divisors is an integer number (9984870).

Almost surely, 2^106505056 is an apocalyptic number.

106505056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106505056 is an abundant number, since it is smaller than the sum of its proper divisors (133131824).

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

106505056 is an equidigital number, since it uses as much as digits as its factorization.

106505056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475486 (or 475478 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 106505056 is about 10320.1286813683. The cubic root of 106505056 is about 474.0128062436.

The spelling of 106505056 in words is "one hundred six million, five hundred five thousand, fifty-six".