100404313296 has 160 divisors (see below), whose sum is σ = 310188146688. Its totient is φ = 27381058560.

The previous prime is 100404313259. The next prime is 100404313297. The reversal of 100404313296 is 692313404001.

It is a super-2 number, since 2×100404313296² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100404313297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694345 + ... + 826391.

Almost surely, 2^100404313296 is an apocalyptic number.

100404313296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100404313296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155094073344).

100404313296 is an abundant number, since it is smaller than the sum of its proper divisors (209783833392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100404313296 is a wasteful number, since it uses less digits than its factorization.

100404313296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132169 (or 132163 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 100404313296 its reverse (692313404001), we get a palindrome (792717717297).

The spelling of 100404313296 in words is "one hundred billion, four hundred four million, three hundred thirteen thousand, two hundred ninety-six".