103628544 has 72 divisors (see below), whose sum is σ = 280600320. Its totient is φ = 33942528.

The previous prime is 103628543. The next prime is 103628599. The reversal of 103628544 is 445826301.

It is a super-3 number, since 3×103628544³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103628543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44169 + ... + 46455.

Almost surely, 2^103628544 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 103628544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140300160).

103628544 is an abundant number, since it is smaller than the sum of its proper divisors (176971776).

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

103628544 is an equidigital number, since it uses as much as digits as its factorization.

103628544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 103628544 is about 10179.8106072756. The cubic root of 103628544 is about 469.7063867073.

The spelling of 103628544 in words is "one hundred three million, six hundred twenty-eight thousand, five hundred forty-four".