100054406144 has 704 divisors, whose sum is σ = 282977280000. Its totient is φ = 34898411520.

The previous prime is 100054406107. The next prime is 100054406147. The reversal of 100054406144 is 441604450001.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100054406147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2128817129 + ... + 2128817175.

Almost surely, 2^100054406144 is an apocalyptic number.

100054406144 is a gapful number since it is divisible by the number (14) 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 100054406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141488640000).

100054406144 is an abundant number, since it is smaller than the sum of its proper divisors (182922873856).

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

100054406144 is a wasteful number, since it uses less digits than its factorization.

100054406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 100054406144 its reverse (441604450001), we get a palindrome (541658856145).

The spelling of 100054406144 in words is "one hundred billion, fifty-four million, four hundred six thousand, one hundred forty-four".