100484166133 has 16 divisors (see below), whose sum is σ = 108412864560. Its totient is φ = 92584083456.

The previous prime is 100484166131. The next prime is 100484166149. The reversal of 100484166133 is 331661484001.

It can be written as a sum of positive squares in 8 ways, for example, as 7771832964 + 92712333169 = 88158^2 + 304487^2 .

It is a cyclic number.

It is not a de Polignac number, because 100484166133 - 2¹ = 100484166131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100484166092 and 100484166101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100484166131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29065141 + ... + 29068597.

It is an arithmetic number, because the mean of its divisors is an integer number (6775804035).

Almost surely, 2^100484166133 is an apocalyptic number.

100484166133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100484166133 is a deficient number, since it is larger than the sum of its proper divisors (7928698427).

100484166133 is a wasteful number, since it uses less digits than its factorization.

100484166133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6936.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 100484166133 in words is "one hundred billion, four hundred eighty-four million, one hundred sixty-six thousand, one hundred thirty-three".