10106002272 has 24 divisors (see below), whose sum is σ = 26528256216. Its totient is φ = 3368667392.

The previous prime is 10106002261. The next prime is 10106002279. The reversal of 10106002272 is 27220060101.

10106002272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106002279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52635333 + ... + 52635524.

It is an arithmetic number, because the mean of its divisors is an integer number (1105344009).

Almost surely, 2^10106002272 is an apocalyptic number.

10106002272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10106002272 is an abundant number, since it is smaller than the sum of its proper divisors (16422253944).

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

10106002272 is a wasteful number, since it uses less digits than its factorization.

10106002272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105270870 (or 105270862 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 10106002272 its reverse (27220060101), we get a palindrome (37326062373).

The spelling of 10106002272 in words is "ten billion, one hundred six million, two thousand, two hundred seventy-two".