100405263144 has 32 divisors (see below), whose sum is σ = 251022276000. Its totient is φ = 33467205312.

The previous prime is 100405263107. The next prime is 100405263149. The reversal of 100405263144 is 441362504001.

It is a super-3 number, since 3×100405263144³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100405263149) 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 7 ways as a sum of consecutive naturals, for example, 808687 + ... + 924545.

It is an arithmetic number, because the mean of its divisors is an integer number (7844446125).

Almost surely, 2^100405263144 is an apocalyptic number.

It is an amenable number.

100405263144 is an abundant number, since it is smaller than the sum of its proper divisors (150617012856).

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

100405263144 is a wasteful number, since it uses less digits than its factorization.

100405263144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151977 (or 151973 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 100405263144 its reverse (441362504001), we get a palindrome (541767767145).

The spelling of 100405263144 in words is "one hundred billion, four hundred five million, two hundred sixty-three thousand, one hundred forty-four".