100100500105088 has 128 divisors (see below), whose sum is σ = 254014427692800. Its totient is φ = 38251584184320.

The previous prime is 100100500105063. The next prime is 100100500105121. The reversal of 100100500105088 is 880501005001001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×100100500105088² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100100500105088.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 172650698 + ... + 173229513.

It is an arithmetic number, because the mean of its divisors is an integer number (1984487716350).

Almost surely, 2^{100100500105088} is an apocalyptic number.

It is an amenable number.

100100500105088 is an abundant number, since it is smaller than the sum of its proper divisors (153913927587712).

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

100100500105088 is a wasteful number, since it uses less digits than its factorization.

100100500105088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345880268 (or 345880256 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 29.

Adding to 100100500105088 its reverse (880501005001001), we get a palindrome (980601505106089).

The spelling of 100100500105088 in words is "one hundred trillion, one hundred billion, five hundred million, one hundred five thousand, eighty-eight".