61100000105 has 32 divisors (see below), whose sum is σ = 77141611008. Its totient is φ = 46405094400.

The previous prime is 61100000083. The next prime is 61100000131. The reversal of 61100000105 is 50100000116.

It is not a de Polignac number, because 61100000105 - 2²⁸ = 60831564649 is a prime.

It is a super-2 number, since 2×61100000105² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 61100000105.

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 31 ways as a sum of consecutive naturals, for example, 2376077 + ... + 2401653.

It is an arithmetic number, because the mean of its divisors is an integer number (2410675344).

Almost surely, 2^61100000105 is an apocalyptic number.

It is an amenable number.

61100000105 is a deficient number, since it is larger than the sum of its proper divisors (16041610903).

61100000105 is a wasteful number, since it uses less digits than its factorization.

61100000105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25937.

The product of its (nonzero) digits is 30, while the sum is 14.

The spelling of 61100000105 in words is "sixty-one billion, one hundred million, one hundred five", and thus it is an aban number.