10151310105040 has 160 divisors (see below), whose sum is σ = 25804263421440. Its totient is φ = 3691148009472.

The previous prime is 10151310105037. The next prime is 10151310105067. The reversal of 10151310105040 is 4050101315101.

10151310105040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 259677816 + ... + 259716904.

It is an arithmetic number, because the mean of its divisors is an integer number (161276646384).

Almost surely, 2^{10151310105040} is an apocalyptic number.

10151310105040 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 10151310105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12902131710720).

10151310105040 is an abundant number, since it is smaller than the sum of its proper divisors (15652953316400).

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

10151310105040 is a wasteful number, since it uses less digits than its factorization.

10151310105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42909 (or 42903 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

The spelling of 10151310105040 in words is "ten trillion, one hundred fifty-one billion, three hundred ten million, one hundred five thousand, forty".