249708000105 has 24 divisors (see below), whose sum is σ = 432880680960. Its totient is φ = 133161144480.

The previous prime is 249708000083. The next prime is 249708000109. The reversal of 249708000105 is 501000807942.

249708000105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 249708000105 - 2¹⁰ = 249707999081 is a prime.

It is a super-3 number, since 3×249708000105³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 249708000105.

It is not an unprimeable number, because it can be changed into a prime (249708000109) 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 23 ways as a sum of consecutive naturals, for example, 29866 + ... + 707324.

It is an arithmetic number, because the mean of its divisors is an integer number (18036695040).

Almost surely, 2^249708000105 is an apocalyptic number.

It is an amenable number.

249708000105 is a deficient number, since it is larger than the sum of its proper divisors (183172680855).

249708000105 is a wasteful number, since it uses less digits than its factorization.

249708000105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685661 (or 685658 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 249708000105 in words is "two hundred forty-nine billion, seven hundred eight million, one hundred five", and thus it is an aban number.