1020108532608 has 1024 divisors, whose sum is σ = 3548808806400. Its totient is φ = 285393715200.

The previous prime is 1020108532603. The next prime is 1020108532699. The reversal of 1020108532608 is 8062358010201.

It is a happy number.

1020108532608 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 10 + 8 + 5 + 32 + 608 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020108532603) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 4232815368 + ... + 4232815608.

It is an arithmetic number, because the mean of its divisors is an integer number (3465633600).

Almost surely, 2^{1020108532608} is an apocalyptic number.

1020108532608 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 1020108532608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774404403200).

1020108532608 is an abundant number, since it is smaller than the sum of its proper divisors (2528700273792).

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

1020108532608 is a wasteful number, since it uses less digits than its factorization.

1020108532608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1020108532608 in words is "one trillion, twenty billion, one hundred eight million, five hundred thirty-two thousand, six hundred eight".