105063979200 has 168 divisors, whose sum is σ = 344981735232. Its totient is φ = 27993953280.

The previous prime is 105063979193. The next prime is 105063979217. The reversal of 105063979200 is 2979360501.

It is a super-2 number, since 2×105063979200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6265227 + ... + 6281973.

Almost surely, 2^105063979200 is an apocalyptic number.

105063979200 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 105063979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172490867616).

105063979200 is an abundant number, since it is smaller than the sum of its proper divisors (239917756032).

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

105063979200 is a wasteful number, since it uses less digits than its factorization.

105063979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18079 (or 18064 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The spelling of 105063979200 in words is "one hundred five billion, sixty-three million, nine hundred seventy-nine thousand, two hundred".