105505551000500 has 96 divisors (see below), whose sum is σ = 265352099620608. Its totient is φ = 35897199312000.

The previous prime is 105505551000403. The next prime is 105505551000517. The reversal of 105505551000500 is 5000155505501.

It is a super-2 number, since 2×105505551000500² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114596627 + ... + 115513626.

It is an arithmetic number, because the mean of its divisors is an integer number (2764084371048).

Almost surely, 2^{105505551000500} is an apocalyptic number.

105505551000500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105505551000500 is an abundant number, since it is smaller than the sum of its proper divisors (159846548620108).

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

105505551000500 is a wasteful number, since it uses less digits than its factorization.

105505551000500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230110410 (or 230110398 counting only the distinct ones).

The product of its (nonzero) digits is 15625, while the sum is 32.

The spelling of 105505551000500 in words is "one hundred five trillion, five hundred five billion, five hundred fifty-one million, five hundred", and thus it is an aban number.