105686649180 has 384 divisors, whose sum is σ = 398701363200. Its totient is φ = 22703369472.

The previous prime is 105686649149. The next prime is 105686649239. The reversal of 105686649180 is 81946686501.

105686649180 is a `hidden beast` number, since 1 + 0 + 568 + 6 + 64 + 9 + 18 + 0 = 666.

It is a super-2 number, since 2×105686649180² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9115347 + ... + 9126933.

It is an arithmetic number, because the mean of its divisors is an integer number (1038284800).

Almost surely, 2^105686649180 is an apocalyptic number.

105686649180 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 105686649180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199350681600).

105686649180 is an abundant number, since it is smaller than the sum of its proper divisors (293014714020).

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

105686649180 is a wasteful number, since it uses less digits than its factorization.

105686649180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11758 (or 11750 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 105686649180 in words is "one hundred five billion, six hundred eighty-six million, six hundred forty-nine thousand, one hundred eighty".