10006010105106 has 16 divisors (see below), whose sum is σ = 20134793342304. Its totient is φ = 3314874513024.

The previous prime is 10006010105101. The next prime is 10006010105111. The reversal of 10006010105106 is 60150101060001.

It is an interprime number because it is at equal distance from previous prime (10006010105101) and next prime (10006010105111).

It is not an unprimeable number, because it can be changed into a prime (10006010105101) 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, 5115546111 + ... + 5115548066.

It is an arithmetic number, because the mean of its divisors is an integer number (1258424583894).

Almost surely, 2^{10006010105106} is an apocalyptic number.

10006010105106 is an abundant number, since it is smaller than the sum of its proper divisors (10128783237198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10006010105106 is a wasteful number, since it uses less digits than its factorization.

10006010105106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10231094345.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 10006010105106 its reverse (60150101060001), we get a palindrome (70156111165107).

The spelling of 10006010105106 in words is "ten trillion, six billion, ten million, one hundred five thousand, one hundred six".