105285110400 has 288 divisors, whose sum is σ = 395456162400. Its totient is φ = 26598205440.

The previous prime is 105285110383. The next prime is 105285110429. The reversal of 105285110400 is 4011582501.

105285110400 is a `hidden beast` number, since 105 + 2 + 8 + 511 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105285110400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 450997 + ... + 643403.

It is an arithmetic number, because the mean of its divisors is an integer number (1373111675).

Almost surely, 2^105285110400 is an apocalyptic number.

105285110400 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 105285110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197728081200).

105285110400 is an abundant number, since it is smaller than the sum of its proper divisors (290171052000).

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

105285110400 is a wasteful number, since it uses less digits than its factorization.

105285110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192456 (or 192436 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 105285110400 its reverse (4011582501), we get a palindrome (109296692901).

The spelling of 105285110400 in words is "one hundred five billion, two hundred eighty-five million, one hundred ten thousand, four hundred".