10030106880 has 288 divisors, whose sum is σ = 36042424320. Its totient is φ = 2673948672.

The previous prime is 10030106851. The next prime is 10030106887. The reversal of 10030106880 is 8860103001.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10030106887) 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, 2797569 + ... + 2801151.

Almost surely, 2^10030106880 is an apocalyptic number.

10030106880 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 10030106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18021212160).

10030106880 is an abundant number, since it is smaller than the sum of its proper divisors (26012317440).

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

10030106880 is an frugal number, since it uses more digits than its factorization.

10030106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3625 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 10030106880 its reverse (8860103001), we get a palindrome (18890209881).

The spelling of 10030106880 in words is "ten billion, thirty million, one hundred six thousand, eight hundred eighty".