106005422443140 has 144 divisors (see below), whose sum is σ = 350821082678976. Its totient is φ = 25695390240000.

The previous prime is 106005422443117. The next prime is 106005422443163. The reversal of 106005422443140 is 41344224500601.

106005422443140 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 0 + 54 + 22 + 443 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (106005422443117) and next prime (106005422443163).

It is a super-2 number, since 2×106005422443140² (a number of 29 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 = 106005422443095 and 106005422443104.

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 47 ways as a sum of consecutive naturals, for example, 14598015 + ... + 20618265.

It is an arithmetic number, because the mean of its divisors is an integer number (2436257518604).

Almost surely, 2^{106005422443140} is an apocalyptic number.

106005422443140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106005422443140 is an abundant number, since it is smaller than the sum of its proper divisors (244815660235836).

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

106005422443140 is a wasteful number, since it uses less digits than its factorization.

106005422443140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6029170 (or 6029165 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 106005422443140 its reverse (41344224500601), we get a palindrome (147349646943741).

The spelling of 106005422443140 in words is "one hundred six trillion, five billion, four hundred twenty-two million, four hundred forty-three thousand, one hundred forty".