106516006500610 has 32 divisors (see below), whose sum is σ = 219247763368320. Its totient is φ = 36498253420032.

The previous prime is 106516006500523. The next prime is 106516006500623. The reversal of 106516006500610 is 16005600615601.

It is a super-2 number, since 2×106516006500610² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106516006500610.

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 15 ways as a sum of consecutive naturals, for example, 448218640 + ... + 448456219.

It is an arithmetic number, because the mean of its divisors is an integer number (6851492605260).

Almost surely, 2^{106516006500610} is an apocalyptic number.

106516006500610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106516006500610 is an abundant number, since it is smaller than the sum of its proper divisors (112731756867710).

106516006500610 is a wasteful number, since it uses less digits than its factorization.

106516006500610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896676570.

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 106516006500610 in words is "one hundred six trillion, five hundred sixteen billion, six million, five hundred thousand, six hundred ten".