106317224 has 64 divisors (see below), whose sum is σ = 226195200. Its totient is φ = 46757568.

The previous prime is 106317221. The next prime is 106317251. The reversal of 106317224 is 422713601.

106317224 = T₇₂ + T₇₃ + ... + T₈₆₀.

It is a super-2 number, since 2×106317224² = 22606704238132352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 106317193 and 106317202.

It is not an unprimeable number, because it can be changed into a prime (106317221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404117 + ... + 404379.

It is an arithmetic number, because the mean of its divisors is an integer number (3534300).

Almost surely, 2^106317224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106317224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113097600).

106317224 is an abundant number, since it is smaller than the sum of its proper divisors (119877976).

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

106317224 is a wasteful number, since it uses less digits than its factorization.

106317224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 106317224 is about 10311.0243913978. The cubic root of 106317224 is about 473.7339864123.

The spelling of 106317224 in words is "one hundred six million, three hundred seventeen thousand, two hundred twenty-four".