105323400000 has 1008 divisors, whose sum is σ = 465139479168. Its totient is φ = 22187520000.

The previous prime is 105323399983. The next prime is 105323400011. The reversal of 105323400000 is 4323501.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×105323400000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 163799679 + ... + 163800321.

It is an arithmetic number, because the mean of its divisors is an integer number (461447896).

Almost surely, 2^105323400000 is an apocalyptic number.

105323400000 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 105323400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232569739584).

105323400000 is an abundant number, since it is smaller than the sum of its proper divisors (359816079168).

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

105323400000 is an equidigital number, since it uses as much as digits as its factorization.

105323400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 105323400000 its reverse (4323501), we get a palindrome (105327723501).

The spelling of 105323400000 in words is "one hundred five billion, three hundred twenty-three million, four hundred thousand".