10030031872 has 264 divisors, whose sum is σ = 24740615160. Its totient is φ = 4046192640.

The previous prime is 10030031863. The next prime is 10030031887. The reversal of 10030031872 is 27813003001.

It can be written as a sum of positive squares in 4 ways, for example, as 491774976 + 9538256896 = 22176^2 + 97664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88761288 + ... + 88761400.

Almost surely, 2^10030031872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030031872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12370307580).

10030031872 is an abundant number, since it is smaller than the sum of its proper divisors (14710583288).

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

10030031872 is a wasteful number, since it uses less digits than its factorization.

10030031872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 10030031872 its reverse (27813003001), we get a palindrome (37843034873).

The spelling of 10030031872 in words is "ten billion, thirty million, thirty-one thousand, eight hundred seventy-two".