61005110105 has 8 divisors (see below), whose sum is σ = 73208569992. Its totient is φ = 48802462848.

The previous prime is 61005110071. The next prime is 61005110143. The reversal of 61005110105 is 50101150016.

It can be written as a sum of positive squares in 4 ways, for example, as 6572020624 + 54433089481 = 81068^2 + 233309^2 .

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 61005110105 - 2⁶ = 61005110041 is a prime.

It is a super-2 number, since 2×61005110105² (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, 23564 + ... + 350093.

It is an arithmetic number, because the mean of its divisors is an integer number (9151071249).

Almost surely, 2^61005110105 is an apocalyptic number.

It is an amenable number.

61005110105 is a deficient number, since it is larger than the sum of its proper divisors (12203459887).

61005110105 is a wasteful number, since it uses less digits than its factorization.

61005110105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406315.

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

The spelling of 61005110105 in words is "sixty-one billion, five million, one hundred ten thousand, one hundred five".