61271700105 has 128 divisors (see below), whose sum is σ = 130520678400. Its totient is φ = 23792025600.

The previous prime is 61271700097. The next prime is 61271700107. The reversal of 61271700105 is 50100717216.

It is not a de Polignac number, because 61271700105 - 2³ = 61271700097 is a prime.

It is a super-2 number, since 2×61271700105² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61271700107) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1008841 + ... + 1067849.

It is an arithmetic number, because the mean of its divisors is an integer number (1019692800).

Almost surely, 2^61271700105 is an apocalyptic number.

It is an amenable number.

61271700105 is an abundant number, since it is smaller than the sum of its proper divisors (69248978295).

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

61271700105 is a wasteful number, since it uses less digits than its factorization.

61271700105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59095.

The product of its (nonzero) digits is 2940, while the sum is 30.

It can be divided in two parts, 612 and 71700105, that added together give a palindrome (71700717).

The spelling of 61271700105 in words is "sixty-one billion, two hundred seventy-one million, seven hundred thousand, one hundred five".