10612261271106 has 48 divisors (see below), whose sum is σ = 25096919683680. Its totient is φ = 3214119692160.

The previous prime is 10612261271063. The next prime is 10612261271107. The reversal of 10612261271106 is 60117216221601.

10612261271106 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 22 + 612 + 7 + 1 + 10 + 6 = 666.

It is a super-2 number, since 2×10612261271106² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10612261271107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13937016 + ... + 14678723.

It is an arithmetic number, because the mean of its divisors is an integer number (522852493410).

Almost surely, 2^{10612261271106} is an apocalyptic number.

10612261271106 is an abundant number, since it is smaller than the sum of its proper divisors (14484658412574).

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

10612261271106 is a wasteful number, since it uses less digits than its factorization.

10612261271106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28617631 (or 28617628 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 10612261271106 its reverse (60117216221601), we get a palindrome (70729477492707).

It can be divided in two parts, 1061226 and 1271106, that added together give a palindrome (2332332).

The spelling of 10612261271106 in words is "ten trillion, six hundred twelve billion, two hundred sixty-one million, two hundred seventy-one thousand, one hundred six".