105152871 has 16 divisors (see below), whose sum is σ = 150336000. Its totient is φ = 65140608.

The previous prime is 105152867. The next prime is 105152891. The reversal of 105152871 is 178251501.

It is not a de Polignac number, because 105152871 - 2² = 105152867 is a prime.

It is a super-2 number, since 2×105152871² = 22114252559085282, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105152851) 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, 9021 + ... + 17078.

It is an arithmetic number, because the mean of its divisors is an integer number (9396000).

Almost surely, 2^105152871 is an apocalyptic number.

105152871 is a deficient number, since it is larger than the sum of its proper divisors (45183129).

105152871 is a wasteful number, since it uses less digits than its factorization.

105152871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26198.

The product of its (nonzero) digits is 2800, while the sum is 30.

The square root of 105152871 is about 10254.4073938965. The cubic root of 105152871 is about 471.9982389454.

The spelling of 105152871 in words is "one hundred five million, one hundred fifty-two thousand, eight hundred seventy-one".