103077 has 12 divisors (see below), whose sum is σ = 160524. Its totient is φ = 63360.

The previous prime is 103069. The next prime is 103079. The reversal of 103077 is 770301.

It can be written as a sum of positive squares in 2 ways, for example, as 16641 + 86436 = 129^2 + 294^2 .

It is not a de Polignac number, because 103077 - 2³ = 103069 is a prime.

103077 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103077.

It is not an unprimeable number, because it can be changed into a prime (103079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324 + ... + 557.

It is an arithmetic number, because the mean of its divisors is an integer number (13377).

2¹⁰³⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

103077 is a deficient number, since it is larger than the sum of its proper divisors (57447).

103077 is a wasteful number, since it uses less digits than its factorization.

103077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 103077 is about 321.0560698694. The cubic root of 103077 is about 46.8871595122.

Adding to 103077 its reverse (770301), we get a palindrome (873378).

The spelling of 103077 in words is "one hundred three thousand, seventy-seven", and thus it is an iban number.