105683203596168 has 256 divisors, whose sum is σ = 325601527680000. Its totient is φ = 31491948787200.

The previous prime is 105683203596049. The next prime is 105683203596169. The reversal of 105683203596168 is 861695302386501.

It is a happy number.

105683203596168 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 8 + 3 + 2 + 0 + 3 + 5 + 9 + 616 + 8 = 666.

It is a super-2 number, since 2×105683203596168² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105683203596169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90317308 + ... + 91479956.

It is an arithmetic number, because the mean of its divisors is an integer number (1271880967500).

Almost surely, 2^{105683203596168} is an apocalyptic number.

105683203596168 is a gapful number since it is divisible by the number (18) 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 105683203596168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162800763840000).

105683203596168 is an abundant number, since it is smaller than the sum of its proper divisors (219918324083832).

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

105683203596168 is a wasteful number, since it uses less digits than its factorization.

105683203596168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163313 (or 1163303 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 105683203596168 in words is "one hundred five trillion, six hundred eighty-three billion, two hundred three million, five hundred ninety-six thousand, one hundred sixty-eight".