100511061050105 has 8 divisors (see below), whose sum is σ = 123555060413064. Its totient is φ = 78447657404800.

The previous prime is 100511061050063. The next prime is 100511061050111. The reversal of 100511061050105 is 501050160115001.

It can be written as a sum of positive squares in 4 ways, for example, as 6422554844176 + 94088506205929 = 2534276^2 + 9699923^2 .

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

It is not a de Polignac number, because 100511061050105 - 2¹⁶ = 100511060984569 is a prime.

It is a super-2 number, since 2×100511061050105² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245148929186 + ... + 245148929595.

It is an arithmetic number, because the mean of its divisors is an integer number (15444382551633).

Almost surely, 2^{100511061050105} is an apocalyptic number.

It is an amenable number.

100511061050105 is a deficient number, since it is larger than the sum of its proper divisors (23043999362959).

100511061050105 is an equidigital number, since it uses as much as digits as its factorization.

100511061050105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490297858827.

The product of its (nonzero) digits is 750, while the sum is 26.

The spelling of 100511061050105 in words is "one hundred trillion, five hundred eleven billion, sixty-one million, fifty thousand, one hundred five".