205103665106340 has 768 divisors, whose sum is σ = 787740123856896. Its totient is φ = 38490855782400.

The previous prime is 205103665106339. The next prime is 205103665106441. The reversal of 205103665106340 is 43601566301502.

205103665106340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 205103665106292 and 205103665106301.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10080280047 + ... + 10080300393.

It is an arithmetic number, because the mean of its divisors is an integer number (1025703286272).

Almost surely, 2^{205103665106340} is an apocalyptic number.

205103665106340 is a gapful number since it is divisible by the number (20) 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 205103665106340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393870061928448).

205103665106340 is an abundant number, since it is smaller than the sum of its proper divisors (582636458750556).

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

205103665106340 is a wasteful number, since it uses less digits than its factorization.

205103665106340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24008 (or 24006 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 205103665106340 in words is "two hundred five trillion, one hundred three billion, six hundred sixty-five million, one hundred six thousand, three hundred forty".