105275808000 has 1728 divisors, whose sum is σ = 458016249600. Its totient is φ = 23721984000.

The previous prime is 105275807963. The next prime is 105275808049. The reversal of 105275808000 is 808572501.

105275808000 is a `hidden beast` number, since 1 + 0 + 527 + 58 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×105275808000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1986335974 + ... + 1986336026.

It is an arithmetic number, because the mean of its divisors is an integer number (265055700).

Almost surely, 2^105275808000 is an apocalyptic number.

105275808000 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 105275808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229008124800).

105275808000 is an abundant number, since it is smaller than the sum of its proper divisors (352740441600).

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

105275808000 is a wasteful number, since it uses less digits than its factorization.

105275808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 105275808000 in words is "one hundred five billion, two hundred seventy-five million, eight hundred eight thousand".