10161015100506 has 96 divisors (see below), whose sum is σ = 23548027405968. Its totient is φ = 3155313715200.

The previous prime is 10161015100487. The next prime is 10161015100517. The reversal of 10161015100506 is 60500151016101.

10161015100506 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 1 + 0 + 151 + 0 + 0 + 506 = 666.

10161015100506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9709088315481 + 451926785025 = 3115941^2 + 672255^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10161015100506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113596656 + ... + 113686068.

Almost surely, 2^{10161015100506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10161015100506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11774013702984).

10161015100506 is an abundant number, since it is smaller than the sum of its proper divisors (13387012305462).

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

10161015100506 is a wasteful number, since it uses less digits than its factorization.

10161015100506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93216 (or 93213 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 10161015100506 its reverse (60500151016101), we get a palindrome (70661166116607).

The spelling of 10161015100506 in words is "ten trillion, one hundred sixty-one billion, fifteen million, one hundred thousand, five hundred six".