106224804 has 96 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 29907360.

The previous prime is 106224803. The next prime is 106224821. The reversal of 106224804 is 408422601.

It is a super-2 number, since 2×106224804² = 22567417969676832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106224803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52687 + ... + 54665.

It is an arithmetic number, because the mean of its divisors is an integer number (3326400).

Almost surely, 2^106224804 is an apocalyptic number.

106224804 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 106224804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

106224804 is an abundant number, since it is smaller than the sum of its proper divisors (213109596).

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

106224804 is a wasteful number, since it uses less digits than its factorization.

106224804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 106224804 is about 10306.5418060570. The cubic root of 106224804 is about 473.5966766206.

The spelling of 106224804 in words is "one hundred six million, two hundred twenty-four thousand, eight hundred four".