100605010101005 has 32 divisors (see below), whose sum is σ = 124998506519040. Its totient is φ = 77640559395840.

The previous prime is 100605010100993. The next prime is 100605010101007. The reversal of 100605010101005 is 500101010506001.

It is a de Polignac number, because none of the positive numbers 2^k-100605010101005 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100605010101007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2251303772 + ... + 2251348458.

It is an arithmetic number, because the mean of its divisors is an integer number (3906203328720).

Almost surely, 2^{100605010101005} is an apocalyptic number.

It is an amenable number.

100605010101005 is a deficient number, since it is larger than the sum of its proper divisors (24393496418035).

100605010101005 is a wasteful number, since it uses less digits than its factorization.

100605010101005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57989.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 100605010101005 its reverse (500101010506001), we get a palindrome (600706020607006).

The spelling of 100605010101005 in words is "one hundred trillion, six hundred five billion, ten million, one hundred one thousand, five".