106445268 has 18 divisors (see below), whose sum is σ = 269070074. Its totient is φ = 35481744.

The previous prime is 106445257. The next prime is 106445281. The reversal of 106445268 is 862544601.

106445268 is a `hidden beast` number, since 1 + 0 + 644 + 5 + 2 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90668484 + 15776784 = 9522^2 + 3972^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×106445268² = 22661190159183648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2956813 = 106445268 / (1 + 0 + 6 + 4 + 4 + 5 + 2 + 6 + 8).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1478371 + ... + 1478442.

Almost surely, 2^106445268 is an apocalyptic number.

106445268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106445268 is an abundant number, since it is smaller than the sum of its proper divisors (162624806).

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

106445268 is a wasteful number, since it uses less digits than its factorization.

106445268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956823 (or 2956818 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 106445268 is about 10317.2316054259. The cubic root of 106445268 is about 473.9240918876.

Adding to 106445268 its reverse (862544601), we get a palindrome (968989869).

The spelling of 106445268 in words is "one hundred six million, four hundred forty-five thousand, two hundred sixty-eight".