100520919982048 has 48 divisors (see below), whose sum is σ = 202512989137536. Its totient is φ = 49089166197120.

The previous prime is 100520919982009. The next prime is 100520919982073. The reversal of 100520919982048 is 840289919025001.

It is a junction number, because it is equal to n+sod(n) for n = 100520919981983 and 100520919982001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25962043 + ... + 29581573.

It is an arithmetic number, because the mean of its divisors is an integer number (4219020607032).

Almost surely, 2^{100520919982048} is an apocalyptic number.

It is an amenable number.

100520919982048 is an abundant number, since it is smaller than the sum of its proper divisors (101992069155488).

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

100520919982048 is a wasteful number, since it uses less digits than its factorization.

100520919982048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639767 (or 3639759 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 58.

The spelling of 100520919982048 in words is "one hundred trillion, five hundred twenty billion, nine hundred nineteen million, nine hundred eighty-two thousand, forty-eight".