101077 has 4 divisors (see below), whose sum is σ = 102796. Its totient is φ = 99360.

The previous prime is 101063. The next prime is 101081. The reversal of 101077 is 770101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 14641 + 86436 = 121^2 + 294^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101077 is a prime.

It is a Duffinian number.

101077 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 101077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101027) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 768 + ... + 889.

It is an arithmetic number, because the mean of its divisors is an integer number (25699).

2¹⁰¹⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

101077 is a deficient number, since it is larger than the sum of its proper divisors (1719).

101077 is an equidigital number, since it uses as much as digits as its factorization.

101077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718.

The product of its (nonzero) digits is 49, while the sum is 16.

The square root of 101077 is about 317.9260920403. The cubic root of 101077 is about 46.5819267165.

Adding to 101077 its reverse (770101), we get a palindrome (871178).

The spelling of 101077 in words is "one hundred one thousand, seventy-seven", and thus it is an iban number.