103890600 has 360 divisors, whose sum is σ = 404095230. Its totient is φ = 24710400.

The previous prime is 103890599. The next prime is 103890601. The reversal of 103890600 is 6098301.

It is an interprime number because it is at equal distance from previous prime (103890599) and next prime (103890601).

It can be written as a sum of positive squares in 3 ways, for example, as 86601636 + 17288964 = 9306^2 + 4158^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (103890601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1960174 + ... + 1960226.

Almost surely, 2^103890600 is an apocalyptic number.

103890600 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 103890600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202047615).

103890600 is an abundant number, since it is smaller than the sum of its proper divisors (300204630).

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

103890600 is a wasteful number, since it uses less digits than its factorization.

103890600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 103890600 is about 10192.6738395771. The cubic root of 103890600 is about 470.1019848101.

The spelling of 103890600 in words is "one hundred three million, eight hundred ninety thousand, six hundred".