105388986600 has 480 divisors, whose sum is σ = 372715564320. Its totient is φ = 27596090880.

The previous prime is 105388986589. The next prime is 105388986629. The reversal of 105388986600 is 6689883501.

105388986600 is a `hidden beast` number, since 10 + 538 + 8 + 98 + 6 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×105388986600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 282544014 + ... + 282544386.

It is an arithmetic number, because the mean of its divisors is an integer number (776490759).

Almost surely, 2^105388986600 is an apocalyptic number.

105388986600 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 105388986600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186357782160).

105388986600 is an abundant number, since it is smaller than the sum of its proper divisors (267326577720).

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

105388986600 is a wasteful number, since it uses less digits than its factorization.

105388986600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 105388986600 in words is "one hundred five billion, three hundred eighty-eight million, nine hundred eighty-six thousand, six hundred".