105610005105 has 16 divisors (see below), whose sum is σ = 184337463744. Its totient is φ = 51204850880.

The previous prime is 105610005091. The next prime is 105610005113. The reversal of 105610005105 is 501500016501.

It is not a de Polignac number, because 105610005105 - 2⁶ = 105610005041 is a prime.

It is a super-2 number, since 2×105610005105² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320030154 + ... + 320030483.

It is an arithmetic number, because the mean of its divisors is an integer number (11521091484).

Almost surely, 2^105610005105 is an apocalyptic number.

105610005105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105610005105 is a deficient number, since it is larger than the sum of its proper divisors (78727458639).

105610005105 is a wasteful number, since it uses less digits than its factorization.

105610005105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640060656.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 105610005105 in words is "one hundred five billion, six hundred ten million, five thousand, one hundred five".