106410055329 has 12 divisors (see below), whose sum is σ = 156603478356. Its totient is φ = 69601545312.

The previous prime is 106410055319. The next prime is 106410055333. The reversal of 106410055329 is 923550014601.

106410055329 is a `hidden beast` number, since 1 + 0 + 641 + 0 + 0 + 5 + 5 + 3 + 2 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95073555600 + 11336499729 = 308340^2 + 106473^2 .

It is not a de Polignac number, because 106410055329 - 2¹⁶ = 106409989793 is a prime.

It is a super-2 number, since 2×106410055329² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106410055293 and 106410055302.

It is not an unprimeable number, because it can be changed into a prime (106410055319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111540462 + ... + 111541415.

It is an arithmetic number, because the mean of its divisors is an integer number (13050289863).

Almost surely, 2^106410055329 is an apocalyptic number.

It is an amenable number.

106410055329 is a deficient number, since it is larger than the sum of its proper divisors (50193423027).

106410055329 is a wasteful number, since it uses less digits than its factorization.

106410055329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223081936 (or 223081933 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 106410055329 in words is "one hundred six billion, four hundred ten million, fifty-five thousand, three hundred twenty-nine".