10107860448 has 192 divisors, whose sum is σ = 31461696000. Its totient is φ = 2780166144.

The previous prime is 10107860437. The next prime is 10107860549. The reversal of 10107860448 is 84406870101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9918883 + ... + 9919901.

It is an arithmetic number, because the mean of its divisors is an integer number (163863000).

Almost surely, 2^10107860448 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 10107860448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15730848000).

10107860448 is an abundant number, since it is smaller than the sum of its proper divisors (21353835552).

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

10107860448 is a wasteful number, since it uses less digits than its factorization.

10107860448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 10107860448 in words is "ten billion, one hundred seven million, eight hundred sixty thousand, four hundred forty-eight".