105205653041420 has 24 divisors (see below), whose sum is σ = 221289945758784. Its totient is φ = 42014056574336.

The previous prime is 105205653041351. The next prime is 105205653041491. The reversal of 105205653041420 is 24140356502501.

It is a super-2 number, since 2×105205653041420² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4262777492 + ... + 4262802171.

It is an arithmetic number, because the mean of its divisors is an integer number (9220414406616).

Almost surely, 2^{105205653041420} is an apocalyptic number.

105205653041420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105205653041420 is an abundant number, since it is smaller than the sum of its proper divisors (116084292717364).

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

105205653041420 is a wasteful number, since it uses less digits than its factorization.

105205653041420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8525580289 (or 8525580287 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 105205653041420 in words is "one hundred five trillion, two hundred five billion, six hundred fifty-three million, forty-one thousand, four hundred twenty".