100413349 has 2 divisors, whose sum is σ = 100413350. Its totient is φ = 100413348.

The previous prime is 100413329. The next prime is 100413367. The reversal of 100413349 is 943314001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98109025 + 2304324 = 9905^2 + 1518^2 .

It is a cyclic number.

It is not a de Polignac number, because 100413349 - 2¹³ = 100405157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100413329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50206674 + 50206675.

It is an arithmetic number, because the mean of its divisors is an integer number (50206675).

Almost surely, 2^100413349 is an apocalyptic number.

It is an amenable number.

100413349 is a deficient number, since it is larger than the sum of its proper divisors (1).

100413349 is an equidigital number, since it uses as much as digits as its factorization.

100413349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 100413349 is about 10020.6461368517. The cubic root of 100413349 is about 464.7975362471.

It can be divided in two parts, 100 and 413349, that added together give a square (413449 = 643²).

The spelling of 100413349 in words is "one hundred million, four hundred thirteen thousand, three hundred forty-nine".