105405300000 has 2160 divisors, whose sum is σ = 523094894784. Its totient is φ = 20217600000.

The previous prime is 105405299953. The next prime is 105405300001. The reversal of 105405300000 is 3504501.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×105405300000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (105405300001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 8108099994 + ... + 8108100006.

Almost surely, 2^105405300000 is an apocalyptic number.

105405300000 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 105405300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261547447392).

105405300000 is an abundant number, since it is smaller than the sum of its proper divisors (417689594784).

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

105405300000 is an equidigital number, since it uses as much as digits as its factorization.

105405300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

Adding to 105405300000 its reverse (3504501), we get a palindrome (105408804501).

The spelling of 105405300000 in words is "one hundred five billion, four hundred five million, three hundred thousand".