100973413 has 2 divisors, whose sum is σ = 100973414. Its totient is φ = 100973412.

The previous prime is 100973399. The next prime is 100973423. The reversal of 100973413 is 314379001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100360324 + 613089 = 10018^2 + 783^2 .

It is an emirp because it is prime and its reverse (314379001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100973413 - 2¹⁷ = 100842341 is a prime.

It is equal to p_5814226 and since 100973413 and 5814226 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100973423) by changing a digit.

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 as a sum of consecutive naturals, namely, 50486706 + 50486707.

It is an arithmetic number, because the mean of its divisors is an integer number (50486707).

Almost surely, 2^100973413 is an apocalyptic number.

It is an amenable number.

100973413 is a deficient number, since it is larger than the sum of its proper divisors (1).

100973413 is an equidigital number, since it uses as much as digits as its factorization.

100973413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 100973413 is about 10048.5527813711. The cubic root of 100973413 is about 465.6600838570.

The spelling of 100973413 in words is "one hundred million, nine hundred seventy-three thousand, four hundred thirteen".