100040993325 has 576 divisors, whose sum is σ = 243659404800. Its totient is φ = 39829708800.

The previous prime is 100040993323. The next prime is 100040993333. The reversal of 100040993325 is 523399040001.

It is a happy number.

It is not a de Polignac number, because 100040993325 - 2¹ = 100040993323 is a prime.

It is a super-3 number, since 3×100040993325³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100040993325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100040993323) 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 575 ways as a sum of consecutive naturals, for example, 885318469 + ... + 885318581.

It is an arithmetic number, because the mean of its divisors is an integer number (423019800).

Almost surely, 2^100040993325 is an apocalyptic number.

100040993325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100040993325 is an abundant number, since it is smaller than the sum of its proper divisors (143618411475).

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

100040993325 is a wasteful number, since it uses less digits than its factorization.

100040993325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 100040993325 in words is "one hundred billion, forty million, nine hundred ninety-three thousand, three hundred twenty-five".