106217265 has 64 divisors (see below), whose sum is σ = 217147392. Its totient is φ = 43046400.

The previous prime is 106217261. The next prime is 106217273. The reversal of 106217265 is 562712601.

It is not a de Polignac number, because 106217265 - 2² = 106217261 is a prime.

It is a super-2 number, since 2×106217265² = 22564214768160450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106217261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46234 + ... + 48476.

It is an arithmetic number, because the mean of its divisors is an integer number (3392928).

Almost surely, 2^106217265 is an apocalyptic number.

106217265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106217265 is an abundant number, since it is smaller than the sum of its proper divisors (110930127).

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

106217265 is a wasteful number, since it uses less digits than its factorization.

106217265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 106217265 is about 10306.1760609840. The cubic root of 106217265 is about 473.5854723014.

Adding to 106217265 its reverse (562712601), we get a palindrome (668929866).

The spelling of 106217265 in words is "one hundred six million, two hundred seventeen thousand, two hundred sixty-five".