100605500500105 has 32 divisors (see below), whose sum is σ = 121617131328000. Its totient is φ = 79892665459200.

The previous prime is 100605500500091. The next prime is 100605500500121. The reversal of 100605500500105 is 501005005506001.

It is not a de Polignac number, because 100605500500105 - 2³¹ = 100603353016457 is a prime.

It is a super-2 number, since 2×100605500500105² (a number of 29 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 31 ways as a sum of consecutive naturals, for example, 3358091116 + ... + 3358121074.

It is an arithmetic number, because the mean of its divisors is an integer number (3800535354000).

Almost surely, 2^{100605500500105} is an apocalyptic number.

It is an amenable number.

100605500500105 is a deficient number, since it is larger than the sum of its proper divisors (21011630827895).

100605500500105 is a wasteful number, since it uses less digits than its factorization.

100605500500105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37945.

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 100605500500105 in words is "one hundred trillion, six hundred five billion, five hundred million, five hundred thousand, one hundred five".