100400112144 has 160 divisors (see below), whose sum is σ = 295048080000. Its totient is φ = 32677433856.

The previous prime is 100400112047. The next prime is 100400112149. The reversal of 100400112144 is 441211004001.

100400112144 is a `hidden beast` number, since 10 + 0 + 400 + 112 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100400112149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3784494 + ... + 3810930.

It is an arithmetic number, because the mean of its divisors is an integer number (1844050500).

Almost surely, 2^100400112144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100400112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147524040000).

100400112144 is an abundant number, since it is smaller than the sum of its proper divisors (194647967856).

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

100400112144 is a wasteful number, since it uses less digits than its factorization.

100400112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26662 (or 26650 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100400112144 its reverse (441211004001), we get a palindrome (541611116145).

The spelling of 100400112144 in words is "one hundred billion, four hundred million, one hundred twelve thousand, one hundred forty-four".