100422144 has 240 divisors, whose sum is σ = 323431680. Its totient is φ = 29859840.

The previous prime is 100422143. The next prime is 100422191. The reversal of 100422144 is 441224001.

100422144 is a `hidden beast` number, since 100 + 422 + 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 (100422143) 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 23 ways as a sum of consecutive naturals, for example, 2714094 + ... + 2714130.

It is an arithmetic number, because the mean of its divisors is an integer number (1347632).

Almost surely, 2^100422144 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 100422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161715840).

100422144 is an abundant number, since it is smaller than the sum of its proper divisors (223009536).

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

100422144 is a wasteful number, since it uses less digits than its factorization.

100422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 100422144 is about 10021.0849711995. The cubic root of 100422144 is about 464.8111060729.

Adding to 100422144 its reverse (441224001), we get a palindrome (541646145).

The spelling of 100422144 in words is "one hundred million, four hundred twenty-two thousand, one hundred forty-four".