10106000600610 has 32 divisors (see below), whose sum is σ = 24254505882432. Its totient is φ = 2694921888960.

The previous prime is 10106000600593. The next prime is 10106000600617. The reversal of 10106000600610 is 1600600060101.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10106000600617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8130300 + ... + 9290520.

It is an arithmetic number, because the mean of its divisors is an integer number (757953308826).

Almost surely, 2^{10106000600610} is an apocalyptic number.

10106000600610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10106000600610 is an abundant number, since it is smaller than the sum of its proper divisors (14148505281822).

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

10106000600610 is a wasteful number, since it uses less digits than its factorization.

10106000600610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450578.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10106000600610 its reverse (1600600060101), we get a palindrome (11706600660711).

The spelling of 10106000600610 in words is "ten trillion, one hundred six billion, six hundred thousand, six hundred ten".