103980121641 has 48 divisors (see below), whose sum is σ = 164681936640. Its totient is φ = 62697922560.

The previous prime is 103980121633. The next prime is 103980121669. The reversal of 103980121641 is 146121089301.

103980121641 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 8 + 0 + 1 + 2 + 1 + 641 = 666.

It is not a de Polignac number, because 103980121641 - 2³ = 103980121633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103980121596 and 103980121605.

It is not an unprimeable number, because it can be changed into a prime (103980121681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27196656 + ... + 27200478.

It is an arithmetic number, because the mean of its divisors is an integer number (3430873680).

Almost surely, 2^103980121641 is an apocalyptic number.

103980121641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103980121641 is a deficient number, since it is larger than the sum of its proper divisors (60701814999).

103980121641 is a wasteful number, since it uses less digits than its factorization.

103980121641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5166 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 103980121641 in words is "one hundred three billion, nine hundred eighty million, one hundred twenty-one thousand, six hundred forty-one".