108806101029 has 48 divisors (see below), whose sum is σ = 161691856560. Its totient is φ = 70486732800.

The previous prime is 108806101009. The next prime is 108806101057. The reversal of 108806101029 is 920101608801.

108806101029 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 0 + 610 + 10 + 29 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 27180468225 + 81625632804 = 164865^2 + 285702^2 .

It is not a de Polignac number, because 108806101029 - 2⁹ = 108806100517 is a prime.

It is a super-2 number, since 2×108806101029² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 108806100984 and 108806101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108806101009) 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 47 ways as a sum of consecutive naturals, for example, 11078529 + ... + 11088345.

It is an arithmetic number, because the mean of its divisors is an integer number (3368580345).

Almost surely, 2^108806101029 is an apocalyptic number.

It is an amenable number.

108806101029 is a deficient number, since it is larger than the sum of its proper divisors (52885755531).

108806101029 is a wasteful number, since it uses less digits than its factorization.

108806101029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10150 (or 10147 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 108806101029 in words is "one hundred eight billion, eight hundred six million, one hundred one thousand, twenty-nine".