105315105300 has 144 divisors (see below), whose sum is σ = 306148738560. Its totient is φ = 27951960960.

The previous prime is 105315105299. The next prime is 105315105331. The reversal of 105315105300 is 3501513501.

It is a super-2 number, since 2×105315105300² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80824449 + ... + 80825751.

Almost surely, 2^105315105300 is an apocalyptic number.

105315105300 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 105315105300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153074369280).

105315105300 is an abundant number, since it is smaller than the sum of its proper divisors (200833633260).

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

105315105300 is a wasteful number, since it uses less digits than its factorization.

105315105300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 24.

Adding to 105315105300 its reverse (3501513501), we get a palindrome (108816618801).

The spelling of 105315105300 in words is "one hundred five billion, three hundred fifteen million, one hundred five thousand, three hundred".