103777013 has 2 divisors, whose sum is σ = 103777014. Its totient is φ = 103777012.

The previous prime is 103776979. The next prime is 103777049. The reversal of 103777013 is 310777301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75655204 + 28121809 = 8698^2 + 5303^2 .

It is a cyclic number.

It is not a de Polignac number, because 103777013 - 2¹⁰ = 103775989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103777073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51888506 + 51888507.

It is an arithmetic number, because the mean of its divisors is an integer number (51888507).

Almost surely, 2^103777013 is an apocalyptic number.

It is an amenable number.

103777013 is a deficient number, since it is larger than the sum of its proper divisors (1).

103777013 is an equidigital number, since it uses as much as digits as its factorization.

103777013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3087, while the sum is 29.

The square root of 103777013 is about 10187.1003234483. The cubic root of 103777013 is about 469.9305963612.

The spelling of 103777013 in words is "one hundred three million, seven hundred seventy-seven thousand, thirteen".