100404481957 has 18 divisors (see below), whose sum is σ = 113063107346. Its totient is φ = 88628247840.

The previous prime is 100404481927. The next prime is 100404481963. The reversal of 100404481957 is 759184404001.

It can be written as a sum of positive squares in 3 ways, for example, as 37530925441 + 62873556516 = 193729^2 + 250746^2 .

It is not a de Polignac number, because 100404481957 - 2³¹ = 98256998309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100404481907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26275107 + ... + 26278927.

Almost surely, 2^100404481957 is an apocalyptic number.

It is an amenable number.

100404481957 is a deficient number, since it is larger than the sum of its proper divisors (12658625389).

100404481957 is an frugal number, since it uses more digits than its factorization.

100404481957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7701 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

Adding to 100404481957 its reverse (759184404001), we get a palindrome (859588885958).

The spelling of 100404481957 in words is "one hundred billion, four hundred four million, four hundred eighty-one thousand, nine hundred fifty-seven".