106555264 has 64 divisors (see below), whose sum is σ = 220932000. Its totient is φ = 51148800.

The previous prime is 106555261. The next prime is 106555289. The reversal of 106555264 is 462555601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106555264² = 22708048572219392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106555261) 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 7 ways as a sum of consecutive naturals, for example, 705589 + ... + 705739.

Almost surely, 2^106555264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106555264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110466000).

106555264 is an abundant number, since it is smaller than the sum of its proper divisors (114376736).

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

106555264 is a wasteful number, since it uses less digits than its factorization.

106555264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 106555264 is about 10322.5609225618. The cubic root of 106555264 is about 474.0872800044.

The spelling of 106555264 in words is "one hundred six million, five hundred fifty-five thousand, two hundred sixty-four".