105413101300 has 72 divisors (see below), whose sum is σ = 246837500000. Its totient is φ = 38843521920.

The previous prime is 105413101289. The next prime is 105413101319. The reversal of 105413101300 is 3101314501.

It is a super-2 number, since 2×105413101300² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 567451 + ... + 729949.

Almost surely, 2^105413101300 is an apocalyptic number.

105413101300 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 105413101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123418750000).

105413101300 is an abundant number, since it is smaller than the sum of its proper divisors (141424398700).

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

105413101300 is a wasteful number, since it uses less digits than its factorization.

105413101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163025 (or 163018 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 105413101300 its reverse (3101314501), we get a palindrome (108514415801).

The spelling of 105413101300 in words is "one hundred five billion, four hundred thirteen million, one hundred one thousand, three hundred".