105040320000 has 1600 divisors, whose sum is σ = 460202688000. Its totient is φ = 21073920000.

The previous prime is 105040319963. The next prime is 105040320019. The reversal of 105040320000 is 23040501.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×105040320000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3622079986 + ... + 3622080014.

It is an arithmetic number, because the mean of its divisors is an integer number (287626680).

Almost surely, 2^105040320000 is an apocalyptic number.

105040320000 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 105040320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230101344000).

105040320000 is an abundant number, since it is smaller than the sum of its proper divisors (355162368000).

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

105040320000 is an frugal number, since it uses more digits than its factorization.

105040320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 105040320000 its reverse (23040501), we get a palindrome (105063360501).

The spelling of 105040320000 in words is "one hundred five billion, forty million, three hundred twenty thousand".