103404132 has 144 divisors (see below), whose sum is σ = 306279792. Its totient is φ = 29122560.

The previous prime is 103404131. The next prime is 103404143. The reversal of 103404132 is 231404301.

It can be written as a sum of positive squares in 8 ways, for example, as 33246756 + 70157376 = 5766^2 + 8376^2 .

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

It is not an unprimeable number, because it can be changed into a prime (103404131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326038 + ... + 326354.

It is an arithmetic number, because the mean of its divisors is an integer number (2126943).

Almost surely, 2^103404132 is an apocalyptic number.

103404132 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 103404132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153139896).

103404132 is an abundant number, since it is smaller than the sum of its proper divisors (202875660).

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

103404132 is a wasteful number, since it uses less digits than its factorization.

103404132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 393 counting only the distinct ones).

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

The square root of 103404132 is about 10168.7822279760. The cubic root of 103404132 is about 469.3670853091.

Adding to 103404132 its reverse (231404301), we get a palindrome (334808433).

The spelling of 103404132 in words is "one hundred three million, four hundred four thousand, one hundred thirty-two".