103214202432 has 224 divisors, whose sum is σ = 304089206400. Its totient is φ = 30634721280.

The previous prime is 103214202409. The next prime is 103214202433. The reversal of 103214202432 is 234202412301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103214202433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22969978 + ... + 22974470.

It is an arithmetic number, because the mean of its divisors is an integer number (1357541100).

Almost surely, 2^103214202432 is an apocalyptic number.

103214202432 is a gapful number since it is divisible by the number (12) 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 103214202432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152044603200).

103214202432 is an abundant number, since it is smaller than the sum of its proper divisors (200875003968).

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

103214202432 is a wasteful number, since it uses less digits than its factorization.

103214202432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4741 (or 4731 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 103214202432 its reverse (234202412301), we get a palindrome (337416614733).

The spelling of 103214202432 in words is "one hundred three billion, two hundred fourteen million, two hundred two thousand, four hundred thirty-two".