105686869962240 has 640 divisors, whose sum is σ = 437133534520320. Its totient is φ = 23701200666624.

The previous prime is 105686869962199. The next prime is 105686869962253. The reversal of 105686869962240 is 42269968686501.

105686869962240 is a `hidden beast` number, since 10 + 568 + 6 + 8 + 6 + 9 + 9 + 6 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×105686869962240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23582827 + ... + 27704213.

It is an arithmetic number, because the mean of its divisors is an integer number (683021147688).

Almost surely, 2^{105686869962240} is an apocalyptic number.

105686869962240 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 105686869962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218566767260160).

105686869962240 is an abundant number, since it is smaller than the sum of its proper divisors (331446664558080).

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

105686869962240 is an equidigital number, since it uses as much as digits as its factorization.

105686869962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121479 (or 4121457 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 105686869962240 in words is "one hundred five trillion, six hundred eighty-six billion, eight hundred sixty-nine million, nine hundred sixty-two thousand, two hundred forty".