103122432 has 240 divisors, whose sum is σ = 357477120. Its totient is φ = 27979776.

The previous prime is 103122407. The next prime is 103122451. The reversal of 103122432 is 234221301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741819 + ... + 741957.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 2^103122432 is an apocalyptic number.

103122432 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 103122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560).

103122432 is an abundant number, since it is smaller than the sum of its proper divisors (254354688).

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

103122432 is a wasteful number, since it uses less digits than its factorization.

103122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 103122432 is about 10154.9215654283. The cubic root of 103122432 is about 468.9404712870.

Adding to 103122432 its reverse (234221301), we get a palindrome (337343733).

The spelling of 103122432 in words is "one hundred three million, one hundred twenty-two thousand, four hundred thirty-two".