105631907171616 has 1152 divisors, whose sum is σ = 381805691904000. Its totient is φ = 28248399986688.

The previous prime is 105631907171419. The next prime is 105631907171629. The reversal of 105631907171616 is 616171709136501.

It is a happy number.

105631907171616 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 3 + 1 + 9 + 0 + 7 + 17 + 1 + 616 = 666.

It is a super-2 number, since 2×105631907171616² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81068232021 + ... + 81068233323.

It is an arithmetic number, because the mean of its divisors is an integer number (331428552000).

Almost surely, 2^{105631907171616} is an apocalyptic number.

105631907171616 is a gapful number since it is divisible by the number (16) 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 105631907171616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190902845952000).

105631907171616 is an abundant number, since it is smaller than the sum of its proper divisors (276173784732384).

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

105631907171616 is a wasteful number, since it uses less digits than its factorization.

105631907171616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 105631907171616 in words is "one hundred five trillion, six hundred thirty-one billion, nine hundred seven million, one hundred seventy-one thousand, six hundred sixteen".