103214233024 has 112 divisors (see below), whose sum is σ = 247985280000. Its totient is φ = 41608949760.

The previous prime is 103214233013. The next prime is 103214233039. The reversal of 103214233024 is 420332412301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 103214233024.

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 15 ways as a sum of consecutive naturals, for example, 20644477 + ... + 20649475.

Almost surely, 2^103214233024 is an apocalyptic number.

103214233024 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 103214233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123992640000).

103214233024 is an abundant number, since it is smaller than the sum of its proper divisors (144771046976).

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

103214233024 is a wasteful number, since it uses less digits than its factorization.

103214233024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7746 (or 7736 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 103214233024 its reverse (420332412301), we get a palindrome (523546645325).

The spelling of 103214233024 in words is "one hundred three billion, two hundred fourteen million, two hundred thirty-three thousand, twenty-four".