105485135200 has 144 divisors (see below), whose sum is σ = 265164840864. Its totient is φ = 40946688000.

The previous prime is 105485135143. The next prime is 105485135219. The reversal of 105485135200 is 2531584501.

It is a super-2 number, since 2×105485135200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11865157 + ... + 11874043.

It is an arithmetic number, because the mean of its divisors is an integer number (1841422506).

Almost surely, 2^105485135200 is an apocalyptic number.

105485135200 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 105485135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132582420432).

105485135200 is an abundant number, since it is smaller than the sum of its proper divisors (159679705664).

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

105485135200 is a wasteful number, since it uses less digits than its factorization.

105485135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9345 (or 9332 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The spelling of 105485135200 in words is "one hundred five billion, four hundred eighty-five million, one hundred thirty-five thousand, two hundred".