100993601 has 2 divisors, whose sum is σ = 100993602. Its totient is φ = 100993600.

The previous prime is 100993591. The next prime is 100993603. The reversal of 100993601 is 106399001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68046001 + 32947600 = 8249^2 + 5740^2 .

It is an emirp because it is prime and its reverse (106399001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100993601 - 2¹⁸ = 100731457 is a prime.

Together with 100993603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100993603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50496800 + 50496801.

It is an arithmetic number, because the mean of its divisors is an integer number (50496801).

Almost surely, 2^100993601 is an apocalyptic number.

It is an amenable number.

100993601 is a deficient number, since it is larger than the sum of its proper divisors (1).

100993601 is an equidigital number, since it uses as much as digits as its factorization.

100993601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 29.

The square root of 100993601 is about 10049.5572539292. The cubic root of 100993601 is about 465.6911155219.

The spelling of 100993601 in words is "one hundred million, nine hundred ninety-three thousand, six hundred one".