100605006000048 has 160 divisors (see below), whose sum is σ = 299258686218240. Its totient is φ = 28803121793280.

The previous prime is 100605006000047. The next prime is 100605006000071. The reversal of 100605006000048 is 840000600506001.

It is a super-3 number, since 3×100605006000048³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100605005999979 and 100605006000024.

It is not an unprimeable number, because it can be changed into a prime (100605006000047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9980940 + ... + 17344427.

It is an arithmetic number, because the mean of its divisors is an integer number (1870366788864).

Almost surely, 2^{100605006000048} is an apocalyptic number.

It is an amenable number.

100605006000048 is an abundant number, since it is smaller than the sum of its proper divisors (198653680218192).

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

100605006000048 is a wasteful number, since it uses less digits than its factorization.

100605006000048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27325775 (or 27325769 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 100605006000048 its reverse (840000600506001), we get a palindrome (940605606506049).

The spelling of 100605006000048 in words is "one hundred trillion, six hundred five billion, six million, forty-eight", and thus it is an aban number.