106228511244 has 108 divisors (see below), whose sum is σ = 288046668000. Its totient is φ = 32995667520.

The previous prime is 106228511237. The next prime is 106228511281. The reversal of 106228511244 is 442115822601.

106228511244 is a `hidden beast` number, since 1 + 0 + 622 + 8 + 5 + 1 + 1 + 24 + 4 = 666.

It is a super-2 number, since 2×106228511244² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106228511199 and 106228511208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 725757 + ... + 859755.

Almost surely, 2^106228511244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106228511244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144023334000).

106228511244 is an abundant number, since it is smaller than the sum of its proper divisors (181818156756).

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

106228511244 is a wasteful number, since it uses less digits than its factorization.

106228511244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134108 (or 134084 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 106228511244 in words is "one hundred six billion, two hundred twenty-eight million, five hundred eleven thousand, two hundred forty-four".