105538843704100 has 27 divisors (see below), whose sum is σ = 229019513766771. Its totient is φ = 42215496388800.

The previous prime is 105538843704079. The next prime is 105538843704109. The reversal of 105538843704100 is 1407348835501.

The square root of 105538843704100 is 10273210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6251330070756 + 99287513633344 = 2500266^2 + 9964312^2 .

It is a super-2 number, since 2×105538843704100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105538843704109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 102218440 + ... + 103245760.

Almost surely, 2^{105538843704100} is an apocalyptic number.

105538843704100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105538843704100 is the 10273210-th square number.

It is an amenable number.

105538843704100 is an abundant number, since it is smaller than the sum of its proper divisors (123480670062671).

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

105538843704100 is an frugal number, since it uses more digits than its factorization.

105538843704100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054656 (or 1027328 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 105538843704100 in words is "one hundred five trillion, five hundred thirty-eight billion, eight hundred forty-three million, seven hundred four thousand, one hundred".