106304732131 has 16 divisors (see below), whose sum is σ = 116225654944. Its totient is φ = 96633782784.

The previous prime is 106304732071. The next prime is 106304732141. The reversal of 106304732131 is 131237403601.

It is a cyclic number.

It is not a de Polignac number, because 106304732131 - 2¹⁹ = 106304207843 is a prime.

It is a super-2 number, since 2×106304732131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106304732093 and 106304732102.

It is not an unprimeable number, because it can be changed into a prime (106304732141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3203581 + ... + 3236593.

It is an arithmetic number, because the mean of its divisors is an integer number (7264103434).

Almost surely, 2^106304732131 is an apocalyptic number.

106304732131 is a deficient number, since it is larger than the sum of its proper divisors (9920922813).

106304732131 is a wasteful number, since it uses less digits than its factorization.

106304732131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36790.

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 106304732131 in words is "one hundred six billion, three hundred four million, seven hundred thirty-two thousand, one hundred thirty-one".