100977 has 8 divisors (see below), whose sum is σ = 136416. Its totient is φ = 66432.

The previous prime is 100957. The next prime is 100981. The reversal of 100977 is 779001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100977 - 2⁶ = 100913 is a prime.

100977 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100977.

It is not an unprimeable number, because it can be changed into a prime (100907) 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, 118 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (17052).

2¹⁰⁰⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

100977 is a deficient number, since it is larger than the sum of its proper divisors (35439).

100977 is an equidigital number, since it uses as much as digits as its factorization.

100977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447.

The product of its (nonzero) digits is 441, while the sum is 24.

The square root of 100977 is about 317.7687838665. The cubic root of 100977 is about 46.5665597860.

Adding to 100977 its reverse (779001), we get a palindrome (879978).

The spelling of 100977 in words is "one hundred thousand, nine hundred seventy-seven".