100400144110 has 32 divisors (see below), whose sum is σ = 218686703040. Its totient is φ = 32398029312.

The previous prime is 100400144107. The next prime is 100400144129. The reversal of 100400144110 is 11441004001.

100400144110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42183745 + ... + 42186124.

It is an arithmetic number, because the mean of its divisors is an integer number (6833959470).

Almost surely, 2^100400144110 is an apocalyptic number.

100400144110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100400144110 is an abundant number, since it is smaller than the sum of its proper divisors (118286558930).

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

100400144110 is a wasteful number, since it uses less digits than its factorization.

100400144110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84369900.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100400144110 its reverse (11441004001), we get a palindrome (111841148111).

The spelling of 100400144110 in words is "one hundred billion, four hundred million, one hundred forty-four thousand, one hundred ten".