10106105161501 has 8 divisors (see below), whose sum is σ = 10548212754240. Its totient is φ = 9664223545152.

The previous prime is 10106105161441. The next prime is 10106105161561. The reversal of 10106105161501 is 10516150160101.

It is an interprime number because it is at equal distance from previous prime (10106105161441) and next prime (10106105161561).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10106105161501 - 2¹⁵ = 10106105128733 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10106105161501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106105161561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56402695 + ... + 56581588.

It is an arithmetic number, because the mean of its divisors is an integer number (1318526594280).

Almost surely, 2^{10106105161501} is an apocalyptic number.

It is an amenable number.

10106105161501 is a deficient number, since it is larger than the sum of its proper divisors (442107592739).

10106105161501 is a wasteful number, since it uses less digits than its factorization.

10106105161501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112988195.

The product of its (nonzero) digits is 900, while the sum is 28.

The spelling of 10106105161501 in words is "ten trillion, one hundred six billion, one hundred five million, one hundred sixty-one thousand, five hundred one".