103628160 has 160 divisors (see below), whose sum is σ = 370260000. Its totient is φ = 27620352.

The previous prime is 103628137. The next prime is 103628167. The reversal of 103628160 is 61826301.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×103628160³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103628167) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50841 + ... + 52839.

It is an arithmetic number, because the mean of its divisors is an integer number (2314125).

Almost surely, 2^103628160 is an apocalyptic number.

103628160 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 103628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185130000).

103628160 is an abundant number, since it is smaller than the sum of its proper divisors (266631840).

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

103628160 is an equidigital number, since it uses as much as digits as its factorization.

103628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 103628160 is about 10179.7917463964. The cubic root of 103628160 is about 469.7058065343.

The spelling of 103628160 in words is "one hundred three million, six hundred twenty-eight thousand, one hundred sixty".