105131030400251 has 8 divisors (see below), whose sum is σ = 110758746600000. Its totient is φ = 99512764607880.

The previous prime is 105131030400241. The next prime is 105131030400271. The reversal of 105131030400251 is 152004030131501.

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 105131030400251 - 2³⁸ = 104856152493307 is a prime.

It is a super-2 number, since 2×105131030400251² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105131030400251.

It is not an unprimeable number, because it can be changed into a prime (105131030400241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2362579001 + ... + 2362623498.

It is an arithmetic number, because the mean of its divisors is an integer number (13844843325000).

Almost surely, 2^{105131030400251} is an apocalyptic number.

105131030400251 is a deficient number, since it is larger than the sum of its proper divisors (5627716199749).

105131030400251 is a wasteful number, since it uses less digits than its factorization.

105131030400251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725203689.

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 105131030400251 its reverse (152004030131501), we get a palindrome (257135060531752).

The spelling of 105131030400251 in words is "one hundred five trillion, one hundred thirty-one billion, thirty million, four hundred thousand, two hundred fifty-one".