100506006105061 has 8 divisors (see below), whose sum is σ = 101584353475584. Its totient is φ = 99432142508160.

The previous prime is 100506006105049. The next prime is 100506006105119. The reversal of 100506006105061 is 160501600605001.

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

It is a cyclic number.

It is not a de Polignac number, because 100506006105061 - 2⁴⁵ = 65321634016229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100506006105031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1120898335 + ... + 1120987996.

It is an arithmetic number, because the mean of its divisors is an integer number (12698044184448).

Almost surely, 2^{100506006105061} is an apocalyptic number.

It is an amenable number.

100506006105061 is a deficient number, since it is larger than the sum of its proper divisors (1078347370523).

100506006105061 is a wasteful number, since it uses less digits than its factorization.

100506006105061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241886811.

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 100506006105061 in words is "one hundred trillion, five hundred six billion, six million, one hundred five thousand, sixty-one".