105051006056009 has 8 divisors (see below), whose sum is σ = 116781267278592. Its totient is φ = 93842089776720.

The previous prime is 105051006055987. The next prime is 105051006056021. The reversal of 105051006056009 is 900650600150501.

It is a happy number.

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 105051006056009 - 2⁸ = 105051006055753 is a prime.

It is a super-2 number, since 2×105051006056009² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105051006016009) 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, 130336235399 + ... + 130336236204.

It is an arithmetic number, because the mean of its divisors is an integer number (14597658409824).

Almost surely, 2^{105051006056009} is an apocalyptic number.

It is an amenable number.

105051006056009 is a deficient number, since it is larger than the sum of its proper divisors (11730261222583).

105051006056009 is a wasteful number, since it uses less digits than its factorization.

105051006056009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260672471647.

The product of its (nonzero) digits is 40500, while the sum is 38.

The spelling of 105051006056009 in words is "one hundred five trillion, fifty-one billion, six million, fifty-six thousand, nine".