103400312232 has 128 divisors (see below), whose sum is σ = 312724684800. Its totient is φ = 27860813568.

The previous prime is 103400312231. The next prime is 103400312237. The reversal of 103400312232 is 232213004301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 103400312199 and 103400312208.

It is not an unprimeable number, because it can be changed into a prime (103400312231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37288 + ... + 456279.

It is an arithmetic number, because the mean of its divisors is an integer number (2443161600).

Almost surely, 2^103400312232 is an apocalyptic number.

103400312232 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 103400312232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156362342400).

103400312232 is an abundant number, since it is smaller than the sum of its proper divisors (209324372568).

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

103400312232 is a wasteful number, since it uses less digits than its factorization.

103400312232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493655 (or 493651 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 103400312232 its reverse (232213004301), we get a palindrome (335613316533).

The spelling of 103400312232 in words is "one hundred three billion, four hundred million, three hundred twelve thousand, two hundred thirty-two".