105997427200 has 300 divisors, whose sum is σ = 306456989850. Its totient is φ = 36331438080.

The previous prime is 105997427171. The next prime is 105997427203. The reversal of 105997427200 is 2724799501.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 41870981376 + 64126445824 = 204624^2 + 253232^2 .

It is a super-2 number, since 2×105997427200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105997427203) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30731076 + ... + 30734524.

Almost surely, 2^105997427200 is an apocalyptic number.

105997427200 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 105997427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153228494925).

105997427200 is an abundant number, since it is smaller than the sum of its proper divisors (200459562650).

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

105997427200 is an frugal number, since it uses more digits than its factorization.

105997427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 105997427200 in words is "one hundred five billion, nine hundred ninety-seven million, four hundred twenty-seven thousand, two hundred".