106016131124 has 24 divisors (see below), whose sum is σ = 186056674440. Its totient is φ = 52857294336.

The previous prime is 106016131121. The next prime is 106016131157. The reversal of 106016131124 is 421131610601.

It can be written as a sum of positive squares in 4 ways, for example, as 337824400 + 105678306724 = 18380^2 + 325082^2 .

It is a super-2 number, since 2×106016131124² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106016131093 and 106016131102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106016131121) 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, 2020064 + ... + 2071880.

It is an arithmetic number, because the mean of its divisors is an integer number (7752361435).

Almost surely, 2^106016131124 is an apocalyptic number.

It is an amenable number.

106016131124 is a deficient number, since it is larger than the sum of its proper divisors (80040543316).

106016131124 is a wasteful number, since it uses less digits than its factorization.

106016131124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53267 (or 53265 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 106016131124 its reverse (421131610601), we get a palindrome (527147741725).

The spelling of 106016131124 in words is "one hundred six billion, sixteen million, one hundred thirty-one thousand, one hundred twenty-four".