10105392731648 has 160 divisors (see below), whose sum is σ = 21220352524800. Its totient is φ = 4798398939136.

The previous prime is 10105392731627. The next prime is 10105392731699. The reversal of 10105392731648 is 84613729350101.

It is a junction number, because it is equal to n+sod(n) for n = 10105392731596 and 10105392731605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 985021943 + ... + 985032201.

It is an arithmetic number, because the mean of its divisors is an integer number (132627203280).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10105392731648 = 20210785463296, but 3⋅10105392731648 = 30316178194944 is not.

Almost surely, 2^{10105392731648} 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 10105392731648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10610176262400).

10105392731648 is an abundant number, since it is smaller than the sum of its proper divisors (11114959793152).

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

10105392731648 is a wasteful number, since it uses less digits than its factorization.

10105392731648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10892 (or 10876 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 10105392731648 in words is "ten trillion, one hundred five billion, three hundred ninety-two million, seven hundred thirty-one thousand, six hundred forty-eight".