105403104002100 has 144 divisors (see below), whose sum is σ = 314814351591936. Its totient is φ = 27199901184000.

The previous prime is 105403104002087. The next prime is 105403104002213. The reversal of 105403104002100 is 1200401304501.

It is a super-2 number, since 2×105403104002100² (a number of 29 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, 308226412 + ... + 308568188.

It is an arithmetic number, because the mean of its divisors is an integer number (2186210774944).

Almost surely, 2^{105403104002100} is an apocalyptic number.

105403104002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105403104002100 is an abundant number, since it is smaller than the sum of its proper divisors (209411247589836).

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

105403104002100 is a wasteful number, since it uses less digits than its factorization.

105403104002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374986 (or 374979 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 105403104002100 its reverse (1200401304501), we get a palindrome (106603505306601).

The spelling of 105403104002100 in words is "one hundred five trillion, four hundred three billion, one hundred four million, two thousand, one hundred".