106106551614 has 64 divisors (see below), whose sum is σ = 269961292800. Its totient is φ = 30261669984.

The previous prime is 106106551561. The next prime is 106106551627. The reversal of 106106551614 is 416155601601.

106106551614 is a `hidden beast` number, since 10 + 61 + 0 + 65 + 516 + 14 = 666.

It is a super-2 number, since 2×106106551614² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41434 + ... + 462525.

It is an arithmetic number, because the mean of its divisors is an integer number (4218145200).

Almost surely, 2^106106551614 is an apocalyptic number.

106106551614 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106106551614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134980646400).

106106551614 is an abundant number, since it is smaller than the sum of its proper divisors (163854741186).

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

106106551614 is a wasteful number, since it uses less digits than its factorization.

106106551614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504534 (or 504528 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 106106551614 in words is "one hundred six billion, one hundred six million, five hundred fifty-one thousand, six hundred fourteen".