100111077 has 24 divisors (see below), whose sum is σ = 158079168. Its totient is φ = 60547200.

The previous prime is 100111073. The next prime is 100111087. The reversal of 100111077 is 770111001.

It is not a de Polignac number, because 100111077 - 2² = 100111073 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111073) 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 23 ways as a sum of consecutive naturals, for example, 72877 + ... + 74237.

It is an arithmetic number, because the mean of its divisors is an integer number (6586632).

Almost surely, 2^100111077 is an apocalyptic number.

It is an amenable number.

100111077 is a deficient number, since it is larger than the sum of its proper divisors (57968091).

100111077 is a wasteful number, since it uses less digits than its factorization.

100111077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 18.

The square root of 100111077 is about 10005.5523085935. The cubic root of 100111077 is about 464.3306776899.

Adding to 100111077 its reverse (770111001), we get a palindrome (870222078).

The spelling of 100111077 in words is "one hundred million, one hundred eleven thousand, seventy-seven".