106535056 has 60 divisors (see below), whose sum is σ = 224975556. Its totient is φ = 48701440.

The previous prime is 106535053. The next prime is 106535081. The reversal of 106535056 is 650535601.

It can be written as a sum of positive squares in 6 ways, for example, as 31539456 + 74995600 = 5616^2 + 8660^2 .

It is a super-2 number, since 2×106535056² = 22699436313846272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106535053) 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 11 ways as a sum of consecutive naturals, for example, 457116 + ... + 457348.

Almost surely, 2^106535056 is an apocalyptic number.

106535056 is a gapful number since it is divisible by the number (16) 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 106535056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112487778).

106535056 is an abundant number, since it is smaller than the sum of its proper divisors (118440500).

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

106535056 is a wasteful number, since it uses less digits than its factorization.

106535056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 106535056 is about 10321.5820492791. The cubic root of 106535056 is about 474.0573081973.

The spelling of 106535056 in words is "one hundred six million, five hundred thirty-five thousand, fifty-six".