103407444 has 162 divisors, whose sum is σ = 319342842. Its totient is φ = 28123200.

The previous prime is 103407433. The next prime is 103407449. The reversal of 103407444 is 444704301.

It can be written as a sum of positive squares in only one way, i.e., 61027344 + 42380100 = 7812^2 + 6510^2 .

It is a super-2 number, since 2×103407444² = 21386198949226272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103407449) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1695174 + ... + 1695234.

Almost surely, 2^103407444 is an apocalyptic number.

103407444 is a gapful number since it is divisible by the number (14) 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 103407444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159671421).

103407444 is an abundant number, since it is smaller than the sum of its proper divisors (215935398).

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

103407444 is a wasteful number, since it uses less digits than its factorization.

103407444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 103407444 is about 10168.9450780305. The cubic root of 103407444 is about 469.3720964795.

The spelling of 103407444 in words is "one hundred three million, four hundred seven thousand, four hundred forty-four".