103214034144 has 144 divisors (see below), whose sum is σ = 316367487072. Its totient is φ = 31730586624.

The previous prime is 103214034109. The next prime is 103214034179. The reversal of 103214034144 is 441430412301.

103214034144 is a `hidden beast` number, since 103 + 2 + 140 + 3 + 414 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (103214034109) and next prime (103214034179).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4530109 + ... + 4552835.

It is an arithmetic number, because the mean of its divisors is an integer number (2196996438).

Almost surely, 2^103214034144 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 103214034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158183743536).

103214034144 is an abundant number, since it is smaller than the sum of its proper divisors (213153452928).

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

103214034144 is a wasteful number, since it uses less digits than its factorization.

103214034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23969 (or 23958 counting only the distinct ones).

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

Adding to 103214034144 its reverse (441430412301), we get a palindrome (544644446445).

The spelling of 103214034144 in words is "one hundred three billion, two hundred fourteen million, thirty-four thousand, one hundred forty-four".