106004500020 has 36 divisors (see below), whose sum is σ = 321546983940. Its totient is φ = 28267866624.

The previous prime is 106004500013. The next prime is 106004500027. The reversal of 106004500020 is 20005400601.

It is a happy number.

106004500020 is a `hidden beast` number, since 1 + 0 + 600 + 45 + 0 + 0 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (106004500013) and next prime (106004500027).

It can be written as a sum of positive squares in 2 ways, for example, as 29038204836 + 76966295184 = 170406^2 + 277428^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106004500020² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106004499966 and 106004500002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106004500027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294456765 + ... + 294457124.

It is an arithmetic number, because the mean of its divisors is an integer number (8931860665).

Almost surely, 2^106004500020 is an apocalyptic number.

106004500020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106004500020 is an abundant number, since it is smaller than the sum of its proper divisors (215542483920).

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

106004500020 is a wasteful number, since it uses less digits than its factorization.

106004500020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588913904 (or 588913899 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 106004500020 its reverse (20005400601), we get a palindrome (126009900621).

The spelling of 106004500020 in words is "one hundred six billion, four million, five hundred thousand, twenty".