103200020 has 96 divisors (see below), whose sum is σ = 284497920. Its totient is φ = 30464640.

The previous prime is 103200017. The next prime is 103200029. The reversal of 103200020 is 20002301.

103200020 = 12² + 13² + ... + 676².

It is a junction number, because it is equal to n+sod(n) for n = 103199980 and 103200007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103200029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27497 + ... + 31023.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 2^103200020 is an apocalyptic number.

103200020 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 103200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960).

103200020 is an abundant number, since it is smaller than the sum of its proper divisors (181297900).

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

103200020 is a wasteful number, since it uses less digits than its factorization.

103200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 103200020 is about 10158.7410637342. The cubic root of 103200020 is about 469.0580500763.

Adding to 103200020 its reverse (20002301), we get a palindrome (123202321).

The spelling of 103200020 in words is "one hundred three million, two hundred thousand, twenty".