103530000 has 400 divisors, whose sum is σ = 418366080. Its totient is φ = 21504000.

The previous prime is 103529977. The next prime is 103530023. The reversal of 103530000 is 35301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103529977) and next prime (103530023).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 3569986 + ... + 3570014.

Almost surely, 2^103530000 is an apocalyptic number.

103530000 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 103530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209183040).

103530000 is an abundant number, since it is smaller than the sum of its proper divisors (314836080).

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

103530000 is a wasteful number, since it uses less digits than its factorization.

103530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 103530000 is about 10174.9692874229. The cubic root of 103530000 is about 469.5574527552.

Adding to 103530000 its reverse (35301), we get a palindrome (103565301).

The spelling of 103530000 in words is "one hundred three million, five hundred thirty thousand".