105894847900 has 72 divisors (see below), whose sum is σ = 245225304576. Its totient is φ = 39552307200.

The previous prime is 105894847897. The next prime is 105894847909. The reversal of 105894847900 is 9748498501.

It is a happy number.

It is a super-2 number, since 2×105894847900² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105894847909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29341 + ... + 461140.

It is an arithmetic number, because the mean of its divisors is an integer number (3405907008).

Almost surely, 2^105894847900 is an apocalyptic number.

105894847900 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 105894847900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122612652288).

105894847900 is an abundant number, since it is smaller than the sum of its proper divisors (139330456676).

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

105894847900 is a wasteful number, since it uses less digits than its factorization.

105894847900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490639 (or 490632 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 105894847900 in words is "one hundred five billion, eight hundred ninety-four million, eight hundred forty-seven thousand, nine hundred".