10106885122880 has 448 divisors, whose sum is σ = 30032430704640. Its totient is φ = 3154328027136.

The previous prime is 10106885122837. The next prime is 10106885122897. The reversal of 10106885122880 is 8822158860101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2330384072 + ... + 2330388408.

It is an arithmetic number, because the mean of its divisors is an integer number (67036675680).

Almost surely, 2^{10106885122880} is an apocalyptic number.

10106885122880 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 10106885122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15016215352320).

10106885122880 is an abundant number, since it is smaller than the sum of its proper divisors (19925545581760).

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

10106885122880 is a wasteful number, since it uses less digits than its factorization.

10106885122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 50.

The spelling of 10106885122880 in words is "ten trillion, one hundred six billion, eight hundred eighty-five million, one hundred twenty-two thousand, eight hundred eighty".