106226000249 has 8 divisors (see below), whose sum is σ = 107240133000. Its totient is φ = 105212587392.

The previous prime is 106226000219. The next prime is 106226000263. The reversal of 106226000249 is 942000622601.

It can be written as a sum of positive squares in 4 ways, for example, as 73058305849 + 33167694400 = 270293^2 + 182120^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106226000249 is a prime.

It is a super-2 number, since 2×106226000249² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106226000219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118907 + ... + 476015.

It is an arithmetic number, because the mean of its divisors is an integer number (13405016625).

Almost surely, 2^106226000249 is an apocalyptic number.

It is an amenable number.

106226000249 is a deficient number, since it is larger than the sum of its proper divisors (1014132751).

106226000249 is a wasteful number, since it uses less digits than its factorization.

106226000249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359947.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 106226000249 in words is "one hundred six billion, two hundred twenty-six million, two hundred forty-nine", and thus it is an aban number.