10200080 has 80 divisors (see below), whose sum is σ = 26409024. Its totient is φ = 3632640.

The previous prime is 10200079. The next prime is 10200089. The reversal of 10200080 is 8000201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (11).

It is not an unprimeable number, because it can be changed into a prime (10200089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58874 + ... + 59046.

Almost surely, 2^10200080 is an apocalyptic number.

10200080 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 10200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13204512).

10200080 is an abundant number, since it is smaller than the sum of its proper divisors (16208944).

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

10200080 is a wasteful number, since it uses less digits than its factorization.

10200080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10200080 is about 3193.7564089955. The cubic root of 10200080 is about 216.8708555047.

Adding to 10200080 its reverse (8000201), we get a palindrome (18200281).

The spelling of 10200080 in words is "ten million, two hundred thousand, eighty".