105321363100 has 144 divisors (see below), whose sum is σ = 253293663168. Its totient is φ = 37809192960.

The previous prime is 105321363079. The next prime is 105321363107. The reversal of 105321363100 is 1363123501.

It is a super-2 number, since 2×105321363100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105321363107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13172704 + ... + 13180696.

It is an arithmetic number, because the mean of its divisors is an integer number (1758983772).

Almost surely, 2^105321363100 is an apocalyptic number.

105321363100 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 105321363100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126646831584).

105321363100 is an abundant number, since it is smaller than the sum of its proper divisors (147972300068).

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

105321363100 is a wasteful number, since it uses less digits than its factorization.

105321363100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8384 (or 8377 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

Adding to 105321363100 its reverse (1363123501), we get a palindrome (106684486601).

The spelling of 105321363100 in words is "one hundred five billion, three hundred twenty-one million, three hundred sixty-three thousand, one hundred".