105235250755800 has 768 divisors, whose sum is σ = 391373539776000. Its totient is φ = 23104327680000.

The previous prime is 105235250755799. The next prime is 105235250755853. The reversal of 105235250755800 is 8557052532501.

It is a super-2 number, since 2×105235250755800² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105235250755800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 367153344 + ... + 367439856.

It is an arithmetic number, because the mean of its divisors is an integer number (509600963250).

Almost surely, 2^{105235250755800} is an apocalyptic number.

105235250755800 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 105235250755800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195686769888000).

105235250755800 is an abundant number, since it is smaller than the sum of its proper divisors (286138289020200).

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

105235250755800 is a wasteful number, since it uses less digits than its factorization.

105235250755800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286692 (or 286683 counting only the distinct ones).

The product of its (nonzero) digits is 2100000, while the sum is 48.

The spelling of 105235250755800 in words is "one hundred five trillion, two hundred thirty-five billion, two hundred fifty million, seven hundred fifty-five thousand, eight hundred".