107146282327359 has 128 divisors (see below), whose sum is σ = 170972292243456. Its totient is φ = 59006211264000.

The previous prime is 107146282327333. The next prime is 107146282327439. The reversal of 107146282327359 is 953723282641701.

It is not a de Polignac number, because 107146282327359 - 2⁹ = 107146282326847 is a prime.

It is a super-2 number, since 2×107146282327359² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107146282327309) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3309930444 + ... + 3309962814.

It is an arithmetic number, because the mean of its divisors is an integer number (1335721033152).

It is a 1-persistent number, because it is pandigital, but 2⋅107146282327359 = 214292564654718 is not.

Almost surely, 2^{107146282327359} is an apocalyptic number.

107146282327359 is a deficient number, since it is larger than the sum of its proper divisors (63826009916097).

107146282327359 is a wasteful number, since it uses less digits than its factorization.

107146282327359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35229.

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 107146282327359 in words is "one hundred seven trillion, one hundred forty-six billion, two hundred eighty-two million, three hundred twenty-seven thousand, three hundred fifty-nine".