100403338100 has 36 divisors (see below), whose sum is σ = 234634880844. Its totient is φ = 37072001280.

The previous prime is 100403338099. The next prime is 100403338109. The reversal of 100403338100 is 1833304001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 33191738596 + 67211599504 = 182186^2 + 259252^2 .

It is a super-2 number, since 2×100403338100² (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 (100403338109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38615369 + ... + 38617968.

It is an arithmetic number, because the mean of its divisors is an integer number (6517635579).

Almost surely, 2^100403338100 is an apocalyptic number.

100403338100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100403338100 is an abundant number, since it is smaller than the sum of its proper divisors (134231542744).

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

100403338100 is a wasteful number, since it uses less digits than its factorization.

100403338100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77233364 (or 77233357 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The spelling of 100403338100 in words is "one hundred billion, four hundred three million, three hundred thirty-eight thousand, one hundred".