103200032520 has 240 divisors, whose sum is σ = 363385336860. Its totient is φ = 25400553984.

The previous prime is 103200032497. The next prime is 103200032527. The reversal of 103200032520 is 25230002301.

103200032520 is a `hidden beast` number, since 1 + 0 + 320 + 0 + 0 + 325 + 20 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 66957772644 + 36242259876 = 258762^2 + 190374^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103200032493 and 103200032502.

It is not an unprimeable number, because it can be changed into a prime (103200032527) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10276942 + ... + 10286978.

Almost surely, 2^103200032520 is an apocalyptic number.

103200032520 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 103200032520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181692668430).

103200032520 is an abundant number, since it is smaller than the sum of its proper divisors (260185304340).

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

103200032520 is a wasteful number, since it uses less digits than its factorization.

103200032520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10106 (or 10060 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 103200032520 its reverse (25230002301), we get a palindrome (128430034821).

The spelling of 103200032520 in words is "one hundred three billion, two hundred million, thirty-two thousand, five hundred twenty".