105313541402151 has 64 divisors (see below), whose sum is σ = 157664484149760. Its totient is φ = 69470636567040.

The previous prime is 105313541402149. The next prime is 105313541402191. The reversal of 105313541402151 is 151204145313501.

105313541402151 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 1 + 3 + 541 + 40 + 21 + 51 = 666.

It is not a de Polignac number, because 105313541402151 - 2¹ = 105313541402149 is a prime.

It is a super-2 number, since 2×105313541402151² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105313541402131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16249578831 + ... + 16249585311.

It is an arithmetic number, because the mean of its divisors is an integer number (2463507564840).

Almost surely, 2^{105313541402151} is an apocalyptic number.

105313541402151 is a deficient number, since it is larger than the sum of its proper divisors (52350942747609).

105313541402151 is a wasteful number, since it uses less digits than its factorization.

105313541402151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12381 (or 12375 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 105313541402151 its reverse (151204145313501), we get a palindrome (256517686715652).

The spelling of 105313541402151 in words is "one hundred five trillion, three hundred thirteen billion, five hundred forty-one million, four hundred two thousand, one hundred fifty-one".