103212032 has 198 divisors, whose sum is σ = 279329526. Its totient is φ = 37847040.

The previous prime is 103212023. The next prime is 103212037. The reversal of 103212032 is 230212301.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 97140736 + 6071296 = 9856^2 + 2464^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 103211998 and 103212016.

It is not an unprimeable number, because it can be changed into a prime (103212037) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6071288 + ... + 6071304.

Almost surely, 2^103212032 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 103212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139664763).

103212032 is an abundant number, since it is smaller than the sum of its proper divisors (176117494).

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

103212032 is a wasteful number, since it uses less digits than its factorization.

103212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 103212032 is about 10159.3322615219. The cubic root of 103212032 is about 469.0762480918.

Adding to 103212032 its reverse (230212301), we get a palindrome (333424333).

The spelling of 103212032 in words is "one hundred three million, two hundred twelve thousand, thirty-two".