105116151 has 32 divisors (see below), whose sum is σ = 178536960. Its totient is φ = 53554176.

The previous prime is 105116147. The next prime is 105116173. The reversal of 105116151 is 151611501.

It is a happy number.

It is not a de Polignac number, because 105116151 - 2² = 105116147 is a prime.

It is a super-2 number, since 2×105116151² = 22098810402109602, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105116101) 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 31 ways as a sum of consecutive naturals, for example, 966 + ... + 14531.

It is an arithmetic number, because the mean of its divisors is an integer number (5579280).

Almost surely, 2^105116151 is an apocalyptic number.

105116151 is a deficient number, since it is larger than the sum of its proper divisors (73420809).

105116151 is a wasteful number, since it uses less digits than its factorization.

105116151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15543.

The product of its (nonzero) digits is 150, while the sum is 21.

The square root of 105116151 is about 10252.6167879230. The cubic root of 105116151 is about 471.9432910300.

Adding to 105116151 its reverse (151611501), we get a palindrome (256727652).

The spelling of 105116151 in words is "one hundred five million, one hundred sixteen thousand, one hundred fifty-one".