105976531200 has 648 divisors, whose sum is σ = 378161421120. Its totient is φ = 26125926400.

The previous prime is 105976531153. The next prime is 105976531267. The reversal of 105976531200 is 2135679501.

It is a super-2 number, since 2×105976531200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 393964666 + ... + 393964934.

It is an arithmetic number, because the mean of its divisors is an integer number (583582440).

Almost surely, 2^105976531200 is an apocalyptic number.

105976531200 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 105976531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189080710560).

105976531200 is an abundant number, since it is smaller than the sum of its proper divisors (272184889920).

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

105976531200 is a wasteful number, since it uses less digits than its factorization.

105976531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The spelling of 105976531200 in words is "one hundred five billion, nine hundred seventy-six million, five hundred thirty-one thousand, two hundred".