106226000 has 40 divisors (see below), whose sum is σ = 256859304. Its totient is φ = 42489600.

The previous prime is 106225997. The next prime is 106226009. The reversal of 106226000 is 622601.

It can be written as a sum of positive squares in 4 ways, for example, as 4700224 + 101525776 = 2168^2 + 10076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106226000² = 22567926152000000, 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 106226000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106226009) 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 7 ways as a sum of consecutive naturals, for example, 24557 + ... + 28556.

Almost surely, 2^106226000 is an apocalyptic number.

106226000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106226000 is an abundant number, since it is smaller than the sum of its proper divisors (150633304).

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

106226000 is an equidigital number, since it uses as much as digits as its factorization.

106226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53136 (or 53120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 106226000 is about 10306.5998272951. The cubic root of 106226000 is about 473.5984540444.

Adding to 106226000 its reverse (622601), we get a palindrome (106848601).

The spelling of 106226000 in words is "one hundred six million, two hundred twenty-six thousand".