100605005011 has 16 divisors (see below), whose sum is σ = 115688089600. Its totient is φ = 85700656800.

The previous prime is 100605005009. The next prime is 100605005021. The reversal of 100605005011 is 110500506001.

It is a cyclic number.

It is not a de Polignac number, because 100605005011 - 2¹ = 100605005009 is a prime.

It is a super-2 number, since 2×100605005011² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100605005011.

It is not an unprimeable number, because it can be changed into a prime (100605005021) 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 15 ways as a sum of consecutive naturals, for example, 1180486 + ... + 1262836.

It is an arithmetic number, because the mean of its divisors is an integer number (7230505600).

Almost surely, 2^100605005011 is an apocalyptic number.

100605005011 is a deficient number, since it is larger than the sum of its proper divisors (15083084589).

100605005011 is an equidigital number, since it uses as much as digits as its factorization.

100605005011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83434.

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 100605005011 in words is "one hundred billion, six hundred five million, five thousand, eleven".