100076801 has 12 divisors (see below), whose sum is σ = 110309136. Its totient is φ = 90724920.

The previous prime is 100076791. The next prime is 100076813. The reversal of 100076801 is 108670001.

It is not a de Polignac number, because 100076801 - 2¹⁰ = 100075777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100076861) 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 11 ways as a sum of consecutive naturals, for example, 52670 + ... + 54536.

It is an arithmetic number, because the mean of its divisors is an integer number (9192428).

Almost surely, 2^100076801 is an apocalyptic number.

100076801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100076801 is a deficient number, since it is larger than the sum of its proper divisors (10232335).

100076801 is a wasteful number, since it uses less digits than its factorization.

100076801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 100076801 is about 10003.8393129838. The cubic root of 100076801 is about 464.2776791757.

The spelling of 100076801 in words is "one hundred million, seventy-six thousand, eight hundred one".