61100105105 has 8 divisors (see below), whose sum is σ = 78960135912. Its totient is φ = 45120077568.

The previous prime is 61100105083. The next prime is 61100105113. The reversal of 61100105105 is 50150100116.

It can be written as a sum of positive squares in 4 ways, for example, as 2884549264 + 58215555841 = 53708^2 + 241279^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 61100105105 - 2⁶ = 61100105041 is a prime.

It is a super-2 number, since 2×61100105105² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470000744 + ... + 470000873.

It is an arithmetic number, because the mean of its divisors is an integer number (9870016989).

Almost surely, 2^61100105105 is an apocalyptic number.

61100105105 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

61100105105 is a deficient number, since it is larger than the sum of its proper divisors (17860030807).

61100105105 is a wasteful number, since it uses less digits than its factorization.

61100105105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940001635.

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 61100105105 in words is "sixty-one billion, one hundred million, one hundred five thousand, one hundred five".