100457205289 has 16 divisors (see below), whose sum is σ = 121423559680. Its totient is φ = 81187641360.

The previous prime is 100457205257. The next prime is 100457205301. The reversal of 100457205289 is 982502754001.

It is not a de Polignac number, because 100457205289 - 2⁵ = 100457205257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100457205389) 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, 1761789 + ... + 1817914.

It is an arithmetic number, because the mean of its divisors is an integer number (7588972480).

Almost surely, 2^100457205289 is an apocalyptic number.

100457205289 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100457205289 is a deficient number, since it is larger than the sum of its proper divisors (20966354391).

100457205289 is a wasteful number, since it uses less digits than its factorization.

100457205289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579940.

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 100457205289 in words is "one hundred billion, four hundred fifty-seven million, two hundred five thousand, two hundred eighty-nine".