10080100576 has 96 divisors (see below), whose sum is σ = 24667409088. Its totient is φ = 3948134400.

The previous prime is 10080100561. The next prime is 10080100577. The reversal of 10080100576 is 67500108001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10080100577) 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, 276976 + ... + 311248.

It is an arithmetic number, because the mean of its divisors is an integer number (256952178).

Almost surely, 2^10080100576 is an apocalyptic number.

10080100576 is a gapful number since it is divisible by the number (16) 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 10080100576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12333704544).

10080100576 is an abundant number, since it is smaller than the sum of its proper divisors (14587308512).

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

10080100576 is a wasteful number, since it uses less digits than its factorization.

10080100576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34404 (or 34396 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

Adding to 10080100576 its reverse (67500108001), we get a palindrome (77580208577).

The spelling of 10080100576 in words is "ten billion, eighty million, one hundred thousand, five hundred seventy-six".