10106295155712 has 528 divisors, whose sum is σ = 36451548536832. Its totient is φ = 2629983928320.

The previous prime is 10106295155701. The next prime is 10106295155717. The reversal of 10106295155712 is 21755159260101.

10106295155712 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 6 + 2 + 95 + 1 + 557 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106295155717) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33849193 + ... + 34146455.

It is an arithmetic number, because the mean of its divisors is an integer number (69037023744).

Almost surely, 2^{10106295155712} is an apocalyptic number.

10106295155712 is a gapful number since it is divisible by the number (12) 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 10106295155712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18225774268416).

10106295155712 is an abundant number, since it is smaller than the sum of its proper divisors (26345253381120).

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

10106295155712 is a wasteful number, since it uses less digits than its factorization.

10106295155712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297344 (or 297323 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 45.

The spelling of 10106295155712 in words is "ten trillion, one hundred six billion, two hundred ninety-five million, one hundred fifty-five thousand, seven hundred twelve".