10261272105 has 128 divisors (see below), whose sum is σ = 21657292800. Its totient is φ = 4512195072.

The previous prime is 10261272067. The next prime is 10261272137. The reversal of 10261272105 is 50127216201.

10261272105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10261272105 - 2⁶ = 10261272041 is a prime.

It is a super-2 number, since 2×10261272105² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2720661 + ... + 2724429.

It is an arithmetic number, because the mean of its divisors is an integer number (169197600).

Almost surely, 2^10261272105 is an apocalyptic number.

10261272105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10261272105 is an abundant number, since it is smaller than the sum of its proper divisors (11396020695).

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

10261272105 is a wasteful number, since it uses less digits than its factorization.

10261272105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 10261272105 its reverse (50127216201), we get a palindrome (60388488306).

The spelling of 10261272105 in words is "ten billion, two hundred sixty-one million, two hundred seventy-two thousand, one hundred five".