105001000610011 has 8 divisors (see below), whose sum is σ = 114699071490048. Its totient is φ = 95328350625000.

The previous prime is 105001000610003. The next prime is 105001000610029. The reversal of 105001000610011 is 110016000100501.

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 105001000610011 - 2³ = 105001000610003 is a prime.

It is a super-2 number, since 2×105001000610011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105001000610041) 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, 6355215115 + ... + 6355231636.

It is an arithmetic number, because the mean of its divisors is an integer number (14337383936256).

Almost surely, 2^{105001000610011} is an apocalyptic number.

105001000610011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105001000610011 is a deficient number, since it is larger than the sum of its proper divisors (9698070880037).

105001000610011 is a wasteful number, since it uses less digits than its factorization.

105001000610011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12710447513.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 105001000610011 its reverse (110016000100501), we get a palindrome (215017000710512).

The spelling of 105001000610011 in words is "one hundred five trillion, one billion, six hundred ten thousand, eleven".