106260224 has 108 divisors (see below), whose sum is σ = 253754424. Its totient is φ = 44255232.

The previous prime is 106260221. The next prime is 106260277. The reversal of 106260224 is 422062601.

It is a super-2 number, since 2×106260224² = 22582470409060352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106260224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106260221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 539294 + ... + 539490.

It is an arithmetic number, because the mean of its divisors is an integer number (2349578).

Almost surely, 2^106260224 is an apocalyptic number.

106260224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106260224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126877212).

106260224 is an abundant number, since it is smaller than the sum of its proper divisors (147494200).

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

106260224 is an equidigital number, since it uses as much as digits as its factorization.

106260224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 106260224 is about 10308.2599889603. The cubic root of 106260224 is about 473.6493100594.

The spelling of 106260224 in words is "one hundred six million, two hundred sixty thousand, two hundred twenty-four".