105211300100 has 36 divisors (see below), whose sum is σ = 233166159744. Its totient is φ = 41189102880.

The previous prime is 105211300097. The next prime is 105211300109. The reversal of 105211300100 is 1003112501.

It is a super-2 number, since 2×105211300100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105211300109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11187992 + ... + 11197391.

Almost surely, 2^105211300100 is an apocalyptic number.

105211300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105211300100 is an abundant number, since it is smaller than the sum of its proper divisors (127954859644).

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

105211300100 is a wasteful number, since it uses less digits than its factorization.

105211300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22385444 (or 22385437 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 105211300100 its reverse (1003112501), we get a palindrome (106214412601).

The spelling of 105211300100 in words is "one hundred five billion, two hundred eleven million, three hundred thousand, one hundred".