105838941600 has 1296 divisors, whose sum is σ = 462910121856. Its totient is φ = 23514624000.

The previous prime is 105838941569. The next prime is 105838941623. The reversal of 105838941600 is 6149838501.

105838941600 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 38 + 9 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×105838941600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 390549465 + ... + 390549735.

It is an arithmetic number, because the mean of its divisors is an integer number (357183736).

Almost surely, 2^105838941600 is an apocalyptic number.

105838941600 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 105838941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231455060928).

105838941600 is an abundant number, since it is smaller than the sum of its proper divisors (357071180256).

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

105838941600 is a wasteful number, since it uses less digits than its factorization.

105838941600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 105838941600 in words is "one hundred five billion, eight hundred thirty-eight million, nine hundred forty-one thousand, six hundred".