105014077555200 has 480 divisors, whose sum is σ = 378505485116352. Its totient is φ = 25453854720000.

The previous prime is 105014077555199. The next prime is 105014077555267. The reversal of 105014077555200 is 2555770410501.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×105014077555200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3241059000 + ... + 3241091400.

Almost surely, 2^{105014077555200} is an apocalyptic number.

105014077555200 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 105014077555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189252742558176).

105014077555200 is an abundant number, since it is smaller than the sum of its proper divisors (273491407561152).

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

105014077555200 is a wasteful number, since it uses less digits than its factorization.

105014077555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40116 (or 40095 counting only the distinct ones).

The product of its (nonzero) digits is 245000, while the sum is 42.

The spelling of 105014077555200 in words is "one hundred five trillion, fourteen billion, seventy-seven million, five hundred fifty-five thousand, two hundred".