105605505051 has 8 divisors (see below), whose sum is σ = 140814119424. Its totient is φ = 70400280360.

The previous prime is 105605505037. The next prime is 105605505067. The reversal of 105605505051 is 150505506501.

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

It is not a de Polignac number, because 105605505051 - 2¹³ = 105605496859 is a prime.

It is a super-3 number, since 3×105605505051³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105605505091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 773811 + ... + 899996.

It is an arithmetic number, because the mean of its divisors is an integer number (17601764928).

Almost surely, 2^105605505051 is an apocalyptic number.

105605505051 is a deficient number, since it is larger than the sum of its proper divisors (35208614373).

105605505051 is a wasteful number, since it uses less digits than its factorization.

105605505051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694841.

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 105605505051 in words is "one hundred five billion, six hundred five million, five hundred five thousand, fifty-one".