105089875200 has 864 divisors, whose sum is σ = 405884438400. Its totient is φ = 26568622080.

The previous prime is 105089875199. The next prime is 105089875223. The reversal of 105089875200 is 2578980501.

It is a happy number.

105089875200 is a `hidden beast` number, since 1 + 0 + 508 + 98 + 7 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×105089875200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 335750244 + ... + 335750556.

Almost surely, 2^105089875200 is an apocalyptic number.

105089875200 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 105089875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202942219200).

105089875200 is an abundant number, since it is smaller than the sum of its proper divisors (300794563200).

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

105089875200 is a wasteful number, since it uses less digits than its factorization.

105089875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 105089875200 in words is "one hundred five billion, eighty-nine million, eight hundred seventy-five thousand, two hundred".