100996713 has 20 divisors (see below), whose sum is σ = 151262100. Its totient is φ = 67156992.

The previous prime is 100996699. The next prime is 100996759. The reversal of 100996713 is 317699001.

It can be written as a sum of positive squares in 2 ways, for example, as 37124649 + 63872064 = 6093^2 + 7992^2 .

It is not a de Polignac number, because 100996713 - 2¹⁰ = 100995689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100996783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34981 + ... + 37757.

It is an arithmetic number, because the mean of its divisors is an integer number (7563105).

Almost surely, 2^100996713 is an apocalyptic number.

It is an amenable number.

100996713 is a deficient number, since it is larger than the sum of its proper divisors (50265387).

100996713 is an equidigital number, since it uses as much as digits as its factorization.

100996713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 100996713 is about 10049.7120854281. The cubic root of 100996713 is about 465.6958987156.

The spelling of 100996713 in words is "one hundred million, nine hundred ninety-six thousand, seven hundred thirteen".