100100105506 has 32 divisors (see below), whose sum is σ = 153372958848. Its totient is φ = 48986985600.

The previous prime is 100100105473. The next prime is 100100105519. The reversal of 100100105506 is 605501001001.

It is a super-2 number, since 2×100100105506² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 30267505 + ... + 30270811.

It is an arithmetic number, because the mean of its divisors is an integer number (4792904964).

Almost surely, 2^100100105506 is an apocalyptic number.

100100105506 is a deficient number, since it is larger than the sum of its proper divisors (53272853342).

100100105506 is a wasteful number, since it uses less digits than its factorization.

100100105506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906.

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

Adding to 100100105506 its reverse (605501001001), we get a palindrome (705601106507).

The spelling of 100100105506 in words is "one hundred billion, one hundred million, one hundred five thousand, five hundred six".