106209077184 has 168 divisors, whose sum is σ = 359142637568. Its totient is φ = 29366530560.

The previous prime is 106209077171. The next prime is 106209077203. The reversal of 106209077184 is 481770902601.

It is a happy number.

106209077184 is a `hidden beast` number, since 1 + 0 + 620 + 9 + 0 + 7 + 7 + 18 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×106209077184² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 299872 + ... + 549855.

Almost surely, 2^106209077184 is an apocalyptic number.

106209077184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106209077184 is an abundant number, since it is smaller than the sum of its proper divisors (252933560384).

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

106209077184 is a wasteful number, since it uses less digits than its factorization.

106209077184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849783 (or 849770 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

Adding to 106209077184 its reverse (481770902601), we get a palindrome (587979979785).

The spelling of 106209077184 in words is "one hundred six billion, two hundred nine million, seventy-seven thousand, one hundred eighty-four".