105157143 has 64 divisors (see below), whose sum is σ = 193822720. Its totient is φ = 54867456.

The previous prime is 105157123. The next prime is 105157159. The reversal of 105157143 is 341751501.

105157143 is a `hidden beast` number, since 1 + 0 + 51 + 571 + 43 = 666.

It is not a de Polignac number, because 105157143 - 2⁵ = 105157111 is a prime.

It is a super-2 number, since 2×105157143² = 22116049447844898, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105157123) 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 63 ways as a sum of consecutive naturals, for example, 311871 + ... + 312207.

It is an arithmetic number, because the mean of its divisors is an integer number (3028480).

Almost surely, 2^105157143 is an apocalyptic number.

105157143 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105157143 is a deficient number, since it is larger than the sum of its proper divisors (88665577).

105157143 is a wasteful number, since it uses less digits than its factorization.

105157143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 105157143 is about 10254.6156924577. The cubic root of 105157143 is about 472.0046307479.

The spelling of 105157143 in words is "one hundred five million, one hundred fifty-seven thousand, one hundred forty-three".