100111977 has 16 divisors (see below), whose sum is σ = 169502080. Its totient is φ = 57206736.

The previous prime is 100111961. The next prime is 100112009. The reversal of 100111977 is 779111001.

It is not a de Polignac number, because 100111977 - 2⁴ = 100111961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100111977.

It is not an unprimeable number, because it can be changed into a prime (100111937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264658 + ... + 265035.

It is an arithmetic number, because the mean of its divisors is an integer number (10593880).

Almost surely, 2^100111977 is an apocalyptic number.

It is an amenable number.

100111977 is a deficient number, since it is larger than the sum of its proper divisors (69390103).

100111977 is an equidigital number, since it uses as much as digits as its factorization.

100111977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529709 (or 529703 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 27.

The square root of 100111977 is about 10005.5972835209. The cubic root of 100111977 is about 464.3320691322.

Adding to 100111977 its reverse (779111001), we get a palindrome (879222978).

The spelling of 100111977 in words is "one hundred million, one hundred eleven thousand, nine hundred seventy-seven".