106429731845 has 8 divisors (see below), whose sum is σ = 128263815576. Its totient is φ = 84778360576.

The previous prime is 106429731823. The next prime is 106429731847. The reversal of 106429731845 is 548137924601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2734139521 + 103695592324 = 52289^2 + 322018^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106429731845 - 2⁸ = 106429731589 is a prime.

It is a super-2 number, since 2×106429731845² (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 = 106429731793 and 106429731802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106429731847) 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 7 ways as a sum of consecutive naturals, for example, 45676832 + ... + 45679161.

It is an arithmetic number, because the mean of its divisors is an integer number (16032976947).

It is a 1-persistent number, because it is pandigital, but 2⋅106429731845 = 212859463690 is not.

Almost surely, 2^106429731845 is an apocalyptic number.

It is an amenable number.

106429731845 is a deficient number, since it is larger than the sum of its proper divisors (21834083731).

106429731845 is an equidigital number, since it uses as much as digits as its factorization.

106429731845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91356231.

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 106429731845 in words is "one hundred six billion, four hundred twenty-nine million, seven hundred thirty-one thousand, eight hundred forty-five".