100510405011 has 16 divisors (see below), whose sum is σ = 148911129600. Its totient is φ = 67003865064.

The previous prime is 100510404949. The next prime is 100510405027. The reversal of 100510405011 is 110504015001.

It is a happy number.

100510405011 is a `hidden beast` number, since 100 + 510 + 4 + 0 + 50 + 1 + 1 = 666.

It is not a de Polignac number, because 100510405011 - 2²¹ = 100508307859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100510405811) 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, 620850 + ... + 765816.

It is an arithmetic number, because the mean of its divisors is an integer number (9306945600).

Almost surely, 2^100510405011 is an apocalyptic number.

100510405011 is a deficient number, since it is larger than the sum of its proper divisors (48400724589).

100510405011 is a wasteful number, since it uses less digits than its factorization.

100510405011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170655 (or 170649 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

It can be divided in two parts, 100510 and 405011, that added together give a square (505521 = 711²).

The spelling of 100510405011 in words is "one hundred billion, five hundred ten million, four hundred five thousand, eleven".