105305036100 has 72 divisors (see below), whose sum is σ = 332380997088. Its totient is φ = 25528492800.

The previous prime is 105305036063. The next prime is 105305036149. The reversal of 105305036100 is 1630503501.

It is a super-2 number, since 2×105305036100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15952009 + ... + 15958608.

Almost surely, 2^105305036100 is an apocalyptic number.

105305036100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105305036100 is an abundant number, since it is smaller than the sum of its proper divisors (227075960988).

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

105305036100 is a wasteful number, since it uses less digits than its factorization.

105305036100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31910645 (or 31910638 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 105305036100 its reverse (1630503501), we get a palindrome (106935539601).

The spelling of 105305036100 in words is "one hundred five billion, three hundred five million, thirty-six thousand, one hundred".