103222314144 has 192 divisors, whose sum is σ = 335553321600. Its totient is φ = 30678994944.

The previous prime is 103222314131. The next prime is 103222314157. The reversal of 103222314144 is 441413222301.

103222314144 is a `hidden beast` number, since 10 + 3 + 2 + 2 + 231 + 414 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (103222314131) and next prime (103222314157).

It is a super-2 number, since 2×103222314144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 94134 + ... + 464010.

It is an arithmetic number, because the mean of its divisors is an integer number (1747673550).

Almost surely, 2^103222314144 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 103222314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167776660800).

103222314144 is an abundant number, since it is smaller than the sum of its proper divisors (232331007456).

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

103222314144 is a wasteful number, since it uses less digits than its factorization.

103222314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369932 (or 369918 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 103222314144 its reverse (441413222301), we get a palindrome (544635536445).

The spelling of 103222314144 in words is "one hundred three billion, two hundred twenty-two million, three hundred fourteen thousand, one hundred forty-four".