106817252 has 12 divisors (see below), whose sum is σ = 187570236. Its totient is φ = 53225760.

The previous prime is 106817251. The next prime is 106817257. The reversal of 106817252 is 252718601.

It can be written as a sum of positive squares in 2 ways, for example, as 58736896 + 48080356 = 7664^2 + 6934^2 .

It is a super-2 number, since 2×106817252² = 22819850649663008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106817251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44399 + ... + 46742.

It is an arithmetic number, because the mean of its divisors is an integer number (15630853).

Almost surely, 2^106817252 is an apocalyptic number.

It is an amenable number.

106817252 is a deficient number, since it is larger than the sum of its proper divisors (80752984).

106817252 is a wasteful number, since it uses less digits than its factorization.

106817252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91438 (or 91436 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 106817252 is about 10335.2431998478. The cubic root of 106817252 is about 474.4755089785.

The spelling of 106817252 in words is "one hundred six million, eight hundred seventeen thousand, two hundred fifty-two".