105218151 has 16 divisors (see below), whose sum is σ = 148780800. Its totient is φ = 65913728.

The previous prime is 105218149. The next prime is 105218153. The reversal of 105218151 is 151812501.

It is an interprime number because it is at equal distance from previous prime (105218149) and next prime (105218153).

It is a cyclic number.

It is not a de Polignac number, because 105218151 - 2¹ = 105218149 is a prime.

It is a super-2 number, since 2×105218151² = 22141718599717602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105218153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41560 + ... + 44018.

It is an arithmetic number, because the mean of its divisors is an integer number (9298800).

Almost surely, 2^105218151 is an apocalyptic number.

105218151 is a deficient number, since it is larger than the sum of its proper divisors (43562649).

105218151 is a wasteful number, since it uses less digits than its factorization.

105218151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318.

The product of its (nonzero) digits is 400, while the sum is 24.

The square root of 105218151 is about 10257.5899216141. The cubic root of 105218151 is about 472.0958925513.

The spelling of 105218151 in words is "one hundred five million, two hundred eighteen thousand, one hundred fifty-one".