106206034024020 has 48 divisors (see below), whose sum is σ = 339859308878208. Its totient is φ = 24275664919680.

The previous prime is 106206034023983. The next prime is 106206034024061. The reversal of 106206034024020 is 20420430602601.

It is a super-2 number, since 2×106206034024020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 126435754371 + ... + 126435755210.

It is an arithmetic number, because the mean of its divisors is an integer number (7080402268296).

Almost surely, 2^{106206034024020} is an apocalyptic number.

106206034024020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106206034024020 is an abundant number, since it is smaller than the sum of its proper divisors (233653274854188).

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

106206034024020 is a wasteful number, since it uses less digits than its factorization.

106206034024020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252871509600 (or 252871509598 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 106206034024020 its reverse (20420430602601), we get a palindrome (126626464626621).

The spelling of 106206034024020 in words is "one hundred six trillion, two hundred six billion, thirty-four million, twenty-four thousand, twenty".