106032532729 has 2 divisors, whose sum is σ = 106032532730. Its totient is φ = 106032532728.

The previous prime is 106032532589. The next prime is 106032532733. The reversal of 106032532729 is 927235230601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95822440704 + 10210092025 = 309552^2 + 101045^2 .

It is a cyclic number.

It is not a de Polignac number, because 106032532729 - 2²⁷ = 105898315001 is a prime.

It is a super-2 number, since 2×106032532729² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106032532691 and 106032532700.

It is not a weakly prime, because it can be changed into another prime (106032532789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53016266364 + 53016266365.

It is an arithmetic number, because the mean of its divisors is an integer number (53016266365).

Almost surely, 2^106032532729 is an apocalyptic number.

It is an amenable number.

106032532729 is a deficient number, since it is larger than the sum of its proper divisors (1).

106032532729 is an equidigital number, since it uses as much as digits as its factorization.

106032532729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 106032532729 in words is "one hundred six billion, thirty-two million, five hundred thirty-two thousand, seven hundred twenty-nine".