105131512163145 has 64 divisors (see below), whose sum is σ = 187901678764800. Its totient is φ = 49860887150592.

The previous prime is 105131512163107. The next prime is 105131512163177. The reversal of 105131512163145 is 541361215131501.

It is not a de Polignac number, because 105131512163145 - 2¹⁸ = 105131511901001 is a prime.

It is a super-2 number, since 2×105131512163145² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 85264920 + ... + 86489129.

It is an arithmetic number, because the mean of its divisors is an integer number (2935963730700).

Almost surely, 2^{105131512163145} is an apocalyptic number.

105131512163145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105131512163145 is a deficient number, since it is larger than the sum of its proper divisors (82770166601655).

105131512163145 is a wasteful number, since it uses less digits than its factorization.

105131512163145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171754186.

The product of its (nonzero) digits is 54000, while the sum is 39.

Adding to 105131512163145 its reverse (541361215131501), we get a palindrome (646492727294646).

The spelling of 105131512163145 in words is "one hundred five trillion, one hundred thirty-one billion, five hundred twelve million, one hundred sixty-three thousand, one hundred forty-five".