103977 has 8 divisors (see below), whose sum is σ = 154080. Its totient is φ = 69300.

The previous prime is 103969. The next prime is 103979. The reversal of 103977 is 779301.

It is not a de Polignac number, because 103977 - 2³ = 103969 is a prime.

It is a super-2 number, since 2×103977² = 21622433058, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3851 = 103977 / (1 + 0 + 3 + 9 + 7 + 7).

It is a self number, because there is not a number n which added to its sum of digits gives 103977.

It is not an unprimeable number, because it can be changed into a prime (103979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1899 + ... + 1952.

It is an arithmetic number, because the mean of its divisors is an integer number (19260).

2¹⁰³⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

103977 is a deficient number, since it is larger than the sum of its proper divisors (50103).

103977 is an equidigital number, since it uses as much as digits as its factorization.

103977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 103977 is about 322.4546479739. The cubic root of 103977 is about 47.0232267874.

It can be divided in two parts, 10397 and 7, that added together give a square (10404 = 102²).

The spelling of 103977 in words is "one hundred three thousand, nine hundred seventy-seven".