105667647363120 has 160 divisors (see below), whose sum is σ = 327712520056320. Its totient is φ = 28165757460480.

The previous prime is 105667647363067. The next prime is 105667647363169. The reversal of 105667647363120 is 21363746766501.

It is a super-2 number, since 2×105667647363120² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 9999772077 + ... + 9999782643.

It is an arithmetic number, because the mean of its divisors is an integer number (2048203250352).

Almost surely, 2^{105667647363120} is an apocalyptic number.

105667647363120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105667647363120 is an abundant number, since it is smaller than the sum of its proper divisors (222044872693200).

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

105667647363120 is a wasteful number, since it uses less digits than its factorization.

105667647363120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24803 (or 24797 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 57.

The spelling of 105667647363120 in words is "one hundred five trillion, six hundred sixty-seven billion, six hundred forty-seven million, three hundred sixty-three thousand, one hundred twenty".