105094987945200 has 720 divisors, whose sum is σ = 408737041405056. Its totient is φ = 24781722163200.

The previous prime is 105094987945141. The next prime is 105094987945219. The reversal of 105094987945200 is 2549789490501.

105094987945200 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 9 + 498 + 7 + 94 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×105094987945200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6275443227 + ... + 6275459973.

Almost surely, 2^{105094987945200} is an apocalyptic number.

105094987945200 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 105094987945200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204368520702528).

105094987945200 is an abundant number, since it is smaller than the sum of its proper divisors (303642053459856).

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

105094987945200 is a wasteful number, since it uses less digits than its factorization.

105094987945200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21102 (or 21088 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 105094987945200 in words is "one hundred five trillion, ninety-four billion, nine hundred eighty-seven million, nine hundred forty-five thousand, two hundred".