100775311 has 24 divisors (see below), whose sum is σ = 126920304. Its totient is φ = 79309440.

The previous prime is 100775293. The next prime is 100775329. The reversal of 100775311 is 113577001.

It is an interprime number because it is at equal distance from previous prime (100775293) and next prime (100775329).

It is a de Polignac number, because none of the positive numbers 2^k-100775311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100778311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178716 + ... + 179278.

It is an arithmetic number, because the mean of its divisors is an integer number (5288346).

Almost surely, 2^100775311 is an apocalyptic number.

100775311 is a deficient number, since it is larger than the sum of its proper divisors (26144993).

100775311 is a wasteful number, since it uses less digits than its factorization.

100775311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 25.

The square root of 100775311 is about 10038.6907014809. The cubic root of 100775311 is about 465.3553548366.

The spelling of 100775311 in words is "one hundred million, seven hundred seventy-five thousand, three hundred eleven".