105500551105500 has 384 divisors, whose sum is σ = 331673468206080. Its totient is φ = 25972686028800.

The previous prime is 105500551105427. The next prime is 105500551105549. The reversal of 105500551105500 is 5501155005501.

It is a super-2 number, since 2×105500551105500² (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 (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 530542092 + ... + 530740908.

It is an arithmetic number, because the mean of its divisors is an integer number (863732990120).

Almost surely, 2^{105500551105500} is an apocalyptic number.

105500551105500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105500551105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165836734103040).

105500551105500 is an abundant number, since it is smaller than the sum of its proper divisors (226172917100580).

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

105500551105500 is a wasteful number, since it uses less digits than its factorization.

105500551105500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199334 (or 199322 counting only the distinct ones).

The product of its (nonzero) digits is 15625, while the sum is 33.

The spelling of 105500551105500 in words is "one hundred five trillion, five hundred billion, five hundred fifty-one million, one hundred five thousand, five hundred".