100506105550998 has 96 divisors (see below), whose sum is σ = 250833081847296. Its totient is φ = 28490392341504.

The previous prime is 100506105550973. The next prime is 100506105551039. The reversal of 100506105550998 is 899055501605001.

100506105550998 is a `hidden beast` number, since 10 + 0 + 5 + 0 + 610 + 5 + 5 + 5 + 0 + 9 + 9 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7609815 + ... + 16091037.

It is an arithmetic number, because the mean of its divisors is an integer number (2612844602576).

Almost surely, 2^{100506105550998} is an apocalyptic number.

100506105550998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100506105550998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125416540923648).

100506105550998 is an abundant number, since it is smaller than the sum of its proper divisors (150326976296298).

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

100506105550998 is a wasteful number, since it uses less digits than its factorization.

100506105550998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8481978 (or 8481975 counting only the distinct ones).

The product of its (nonzero) digits is 2430000, while the sum is 54.

The spelling of 100506105550998 in words is "one hundred trillion, five hundred six billion, one hundred five million, five hundred fifty thousand, nine hundred ninety-eight".