10605501006001 has 32 divisors (see below), whose sum is σ = 12458771740800. Its totient is φ = 8919754260480.

The previous prime is 10605501005977. The next prime is 10605501006059. The reversal of 10605501006001 is 10060010550601.

It is a cyclic number.

It is not a de Polignac number, because 10605501006001 - 2³⁹ = 10055745192113 is a prime.

It is a super-2 number, since 2×10605501006001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10605501006601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193811421 + ... + 193866133.

It is an arithmetic number, because the mean of its divisors is an integer number (389336616900).

Almost surely, 2^{10605501006001} is an apocalyptic number.

10605501006001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10605501006001 is a deficient number, since it is larger than the sum of its proper divisors (1853270734799).

10605501006001 is a wasteful number, since it uses less digits than its factorization.

10605501006001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72369.

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 10605501006001 its reverse (10060010550601), we get a palindrome (20665511556602).

The spelling of 10605501006001 in words is "ten trillion, six hundred five billion, five hundred one million, six thousand, one".