103121907876 has 243 divisors, whose sum is σ = 296726701089. Its totient is φ = 30180705984.

The previous prime is 103121907869. The next prime is 103121907881. The reversal of 103121907876 is 678709121301.

The square root of 103121907876 is 321126.

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

103121907876 is a `hidden beast` number, since 10 + 312 + 190 + 78 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15254720100 + 87867187776 = 123510^2 + 296424^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 576099955 + ... + 576100133.

Almost surely, 2^103121907876 is an apocalyptic number.

103121907876 is the 321126-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103121907876

103121907876 is an abundant number, since it is smaller than the sum of its proper divisors (193604793213).

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

103121907876 is a wasteful number, since it uses less digits than its factorization.

103121907876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 103121907876 in words is "one hundred three billion, one hundred twenty-one million, nine hundred seven thousand, eight hundred seventy-six".