106181888137 has 8 divisors (see below), whose sum is σ = 114354390920. Its totient is φ = 98010051840.

The previous prime is 106181888119. The next prime is 106181888171. The reversal of 106181888137 is 731888181601.

It can be written as a sum of positive squares in 4 ways, for example, as 255072841 + 105926815296 = 15971^2 + 325464^2 .

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 106181888137 - 2¹⁵ = 106181855369 is a prime.

It is a super-2 number, since 2×106181888137² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106181868137) 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, 193039 + ... + 499627.

It is an arithmetic number, because the mean of its divisors is an integer number (14294298865).

Almost surely, 2^106181888137 is an apocalyptic number.

It is an amenable number.

106181888137 is a deficient number, since it is larger than the sum of its proper divisors (8172502783).

106181888137 is a wasteful number, since it uses less digits than its factorization.

106181888137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333243.

The product of its (nonzero) digits is 516096, while the sum is 52.

The spelling of 106181888137 in words is "one hundred six billion, one hundred eighty-one million, eight hundred eighty-eight thousand, one hundred thirty-seven".