103628760 has 64 divisors (see below), whose sum is σ = 315290880. Its totient is φ = 27242880.

The previous prime is 103628743. The next prime is 103628773. The reversal of 103628760 is 67826301.

It is a super-3 number, since 3×103628760³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2439 + ... + 14601.

It is an arithmetic number, because the mean of its divisors is an integer number (4926420).

Almost surely, 2^103628760 is an apocalyptic number.

103628760 is a gapful number since it is divisible by the number (10) 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 103628760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157645440).

103628760 is an abundant number, since it is smaller than the sum of its proper divisors (211662120).

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

103628760 is a wasteful number, since it uses less digits than its factorization.

103628760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12248 (or 12244 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 103628760 is about 10179.8212165047. The cubic root of 103628760 is about 469.7067130541.

The spelling of 103628760 in words is "one hundred three million, six hundred twenty-eight thousand, seven hundred sixty".