61111111105 has 48 divisors (see below), whose sum is σ = 82885872384. Its totient is φ = 43195680000.

The previous prime is 61111111091. The next prime is 61111111121. The reversal of 61111111105 is 50111111116.

It is a de Polignac number, because none of the positive numbers 2^k-61111111105 is a prime.

It is a super-6 number, since 6×61111111105⁶ (a number of 66 digits) contains 666666 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6717610 + ... + 6726700.

It is an arithmetic number, because the mean of its divisors is an integer number (1726789008).

Almost surely, 2^61111111105 is an apocalyptic number.

It is an amenable number.

61111111105 is a deficient number, since it is larger than the sum of its proper divisors (21774761279).

61111111105 is a wasteful number, since it uses less digits than its factorization.

61111111105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9430 (or 9419 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 19.

It can be divided in two parts, 6 and 1111111105, that added together give a palindrome (1111111111).

The spelling of 61111111105 in words is "sixty-one billion, one hundred eleven million, one hundred eleven thousand, one hundred five".