106511264 has 48 divisors (see below), whose sum is σ = 222264000. Its totient is φ = 50102784.

The previous prime is 106511263. The next prime is 106511281. The reversal of 106511264 is 462115601.

It is a super-2 number, since 2×106511264² = 22689298717755392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106511263) 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, 101012 + ... + 102060.

It is an arithmetic number, because the mean of its divisors is an integer number (4630500).

Almost surely, 2^106511264 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 106511264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111132000).

106511264 is an abundant number, since it is smaller than the sum of its proper divisors (115752736).

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

106511264 is a wasteful number, since it uses less digits than its factorization.

106511264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 106511264 is about 10320.4294484290. The cubic root of 106511264 is about 474.0220158669.

Adding to 106511264 its reverse (462115601), we get a palindrome (568626865).

The spelling of 106511264 in words is "one hundred six million, five hundred eleven thousand, two hundred sixty-four".