105075532800 has 1584 divisors, whose sum is σ = 473054167040. Its totient is φ = 22574039040.

The previous prime is 105075532787. The next prime is 105075532823. The reversal of 105075532800 is 8235570501.

105075532800 is a `hidden beast` number, since 1 + 0 + 50 + 75 + 532 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×105075532800² (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 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 143 ways as a sum of consecutive naturals, for example, 827366337 + ... + 827366463.

Almost surely, 2^105075532800 is an apocalyptic number.

105075532800 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 105075532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236527083520).

105075532800 is an abundant number, since it is smaller than the sum of its proper divisors (367978634240).

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

105075532800 is a wasteful number, since it uses less digits than its factorization.

105075532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 105075532800 in words is "one hundred five billion, seventy-five million, five hundred thirty-two thousand, eight hundred".