106117224 has 64 divisors (see below), whose sum is σ = 271891200. Its totient is φ = 34504704.

The previous prime is 106117201. The next prime is 106117241. The reversal of 106117224 is 422711601.

It is a super-2 number, since 2×106117224² = 22521730458932352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 106117194 and 106117203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183624 + ... + 184200.

It is an arithmetic number, because the mean of its divisors is an integer number (4248300).

Almost surely, 2^106117224 is an apocalyptic number.

It is an amenable number.

106117224 is an abundant number, since it is smaller than the sum of its proper divisors (165773976).

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

106117224 is a wasteful number, since it uses less digits than its factorization.

106117224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 106117224 is about 10301.3214686272. The cubic root of 106117224 is about 473.4367430392.

Adding to 106117224 its reverse (422711601), we get a palindrome (528828825).

The spelling of 106117224 in words is "one hundred six million, one hundred seventeen thousand, two hundred twenty-four".