106244085086208 has 768 divisors, whose sum is σ = 329880305664000. Its totient is φ = 33748188364800.

The previous prime is 106244085086203. The next prime is 106244085086213. The reversal of 106244085086208 is 802680580442601.

106244085086208 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 4 + 4 + 0 + 8 + 5 + 0 + 8 + 620 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (106244085086203) and next prime (106244085086213).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×106244085086208² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106244085086203) 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 63 ways as a sum of consecutive naturals, for example, 30260347173 + ... + 30260350683.

It is an arithmetic number, because the mean of its divisors is an integer number (429531648000).

Almost surely, 2^{106244085086208} is an apocalyptic number.

106244085086208 is a gapful number since it is divisible by the number (18) 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 106244085086208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164940152832000).

106244085086208 is an abundant number, since it is smaller than the sum of its proper divisors (223636220577792).

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

106244085086208 is a wasteful number, since it uses less digits than its factorization.

106244085086208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 106244085086208 in words is "one hundred six trillion, two hundred forty-four billion, eighty-five million, eighty-six thousand, two hundred eight".