105031488137 has 8 divisors (see below), whose sum is σ = 108672640200. Its totient is φ = 101391627904.

The previous prime is 105031488113. The next prime is 105031488139. The reversal of 105031488137 is 731884130501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16382976016 + 88648512121 = 127996^2 + 297739^2 .

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 105031488137 - 2⁶ = 105031488073 is a prime.

It is a super-2 number, since 2×105031488137² (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 = 105031488094 and 105031488103.

It is not an unprimeable number, because it can be changed into a prime (105031488139) 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, 156062 + ... + 484167.

It is an arithmetic number, because the mean of its divisors is an integer number (13584080025).

Almost surely, 2^105031488137 is an apocalyptic number.

It is an amenable number.

105031488137 is a deficient number, since it is larger than the sum of its proper divisors (3641152063).

105031488137 is an equidigital number, since it uses as much as digits as its factorization.

105031488137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645915.

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 105031488137 in words is "one hundred five billion, thirty-one million, four hundred eighty-eight thousand, one hundred thirty-seven".