100841763 has 24 divisors (see below), whose sum is σ = 149615424. Its totient is φ = 60361840.

The previous prime is 100841749. The next prime is 100841771. The reversal of 100841763 is 367148001.

It is a happy number.

It is a Cunningham number, because it is equal to 10042²-1.

It is not a de Polignac number, because 100841763 - 2⁴ = 100841747 is a prime.

It is a super-2 number, since 2×100841763² = 20338122329896338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100841763.

It is not an unprimeable number, because it can be changed into a prime (100841963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28456 + ... + 31802.

It is an arithmetic number, because the mean of its divisors is an integer number (6233976).

Almost surely, 2^100841763 is an apocalyptic number.

100841763 is a deficient number, since it is larger than the sum of its proper divisors (48773661).

100841763 is a wasteful number, since it uses less digits than its factorization.

100841763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 100841763 is about 10041.9999502091. Note that the first 4 decimals coincide. The cubic root of 100841763 is about 465.4576186388.

Adding to 100841763 its reverse (367148001), we get a palindrome (467989764).

The spelling of 100841763 in words is "one hundred million, eight hundred forty-one thousand, seven hundred sixty-three".