105531138108760 has 64 divisors (see below), whose sum is σ = 292240074772800. Its totient is φ = 33398865686016.

The previous prime is 105531138108757. The next prime is 105531138108881. The reversal of 105531138108760 is 67801831135501.

It is a super-3 number, since 3×105531138108760³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14496031815 + ... + 14496039094.

It is an arithmetic number, because the mean of its divisors is an integer number (4566251168325).

Almost surely, 2^{105531138108760} is an apocalyptic number.

105531138108760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105531138108760 is an abundant number, since it is smaller than the sum of its proper divisors (186708936664040).

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

105531138108760 is a wasteful number, since it uses less digits than its factorization.

105531138108760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28992070940 (or 28992070936 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 49.

The spelling of 105531138108760 in words is "one hundred five trillion, five hundred thirty-one billion, one hundred thirty-eight million, one hundred eight thousand, seven hundred sixty".