106107264 has 48 divisors (see below), whose sum is σ = 305338020. Its totient is φ = 35368704.

The previous prime is 106107263. The next prime is 106107271. The reversal of 106107264 is 462701601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106107264² = 22517502947131392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106107263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44902 + ... + 47205.

Almost surely, 2^106107264 is an apocalyptic number.

It is an amenable number.

106107264 is an abundant number, since it is smaller than the sum of its proper divisors (199230756).

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

106107264 is an equidigital number, since it uses as much as digits as its factorization.

106107264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92127 (or 92112 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106107264 is about 10300.8380241609. The cubic root of 106107264 is about 473.4219305601.

Adding to 106107264 its reverse (462701601), we get a palindrome (568808865).

The spelling of 106107264 in words is "one hundred six million, one hundred seven thousand, two hundred sixty-four".