105116301531 has 16 divisors (see below), whose sum is σ = 156719757600. Its totient is φ = 69631177824.

The previous prime is 105116301529. The next prime is 105116301533. The reversal of 105116301531 is 135103611501.

It is a happy number.

105116301531 is a `hidden beast` number, since 1 + 0 + 5 + 11 + 630 + 15 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (105116301529) and next prime (105116301533).

It is not a de Polignac number, because 105116301531 - 2¹ = 105116301529 is a prime.

It is a super-2 number, since 2×105116301531² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105116301495 and 105116301504.

It is not an unprimeable number, because it can be changed into a prime (105116301533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12394476 + ... + 12402953.

It is an arithmetic number, because the mean of its divisors is an integer number (9794984850).

Almost surely, 2^105116301531 is an apocalyptic number.

105116301531 is a deficient number, since it is larger than the sum of its proper divisors (51603456069).

105116301531 is a wasteful number, since it uses less digits than its factorization.

105116301531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24797595 (or 24797589 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 105116301531 in words is "one hundred five billion, one hundred sixteen million, three hundred one thousand, five hundred thirty-one".