105004331300 has 144 divisors (see below), whose sum is σ = 255832084032. Its totient is φ = 37072857600.

The previous prime is 105004331297. The next prime is 105004331303. The reversal of 105004331300 is 3133400501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105004331297) and next prime (105004331303).

It is a super-2 number, since 2×105004331300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (105004331303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21283634 + ... + 21288566.

Almost surely, 2^105004331300 is an apocalyptic number.

105004331300 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 105004331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127916042016).

105004331300 is an abundant number, since it is smaller than the sum of its proper divisors (150827752732).

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

105004331300 is a wasteful number, since it uses less digits than its factorization.

105004331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5518 (or 5511 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 105004331300 its reverse (3133400501), we get a palindrome (108137731801).

The spelling of 105004331300 in words is "one hundred five billion, four million, three hundred thirty-one thousand, three hundred".