106226000250 has 128 divisors (see below), whose sum is σ = 292943319552. Its totient is φ = 25501414400.

The previous prime is 106226000219. The next prime is 106226000263. The reversal of 106226000250 is 52000622601.

It is a super-2 number, since 2×106226000250² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106226000250.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 112132 + ... + 474368.

It is an arithmetic number, because the mean of its divisors is an integer number (2288619684).

Almost surely, 2^106226000250 is an apocalyptic number.

106226000250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106226000250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146471659776).

106226000250 is an abundant number, since it is smaller than the sum of its proper divisors (186717319302).

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

106226000250 is a wasteful number, since it uses less digits than its factorization.

106226000250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362297 (or 362287 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 106226000250 its reverse (52000622601), we get a palindrome (158226622851).

The spelling of 106226000250 in words is "one hundred six billion, two hundred twenty-six million, two hundred fifty", and thus it is an aban number.