106004613114 has 32 divisors (see below), whose sum is σ = 236435086080. Its totient is φ = 35204479200.

The previous prime is 106004613107. The next prime is 106004613139. The reversal of 106004613114 is 411316400601.

106004613114 is a `hidden beast` number, since 1 + 0 + 600 + 46 + 1 + 3 + 1 + 14 = 666.

It is a super-3 number, since 3×106004613114³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3607227 + ... + 3636494.

It is an arithmetic number, because the mean of its divisors is an integer number (7388596440).

Almost surely, 2^106004613114 is an apocalyptic number.

106004613114 is an abundant number, since it is smaller than the sum of its proper divisors (130430472966).

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

106004613114 is a wasteful number, since it uses less digits than its factorization.

106004613114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7244003 (or 7243997 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 106004613114 in words is "one hundred six billion, four million, six hundred thirteen thousand, one hundred fourteen".