105187293 has 24 divisors (see below), whose sum is σ = 154240632. Its totient is φ = 69070848.

The previous prime is 105187283. The next prime is 105187297. The reversal of 105187293 is 392781501.

It can be written as a sum of positive squares in 4 ways, for example, as 8892324 + 96294969 = 2982^2 + 9813^2 .

It is not a de Polignac number, because 105187293 - 2¹³ = 105179101 is a prime.

It is a super-2 number, since 2×105187293² = 22128733217335698, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105187297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297805 + ... + 298157.

It is an arithmetic number, because the mean of its divisors is an integer number (6426693).

Almost surely, 2^105187293 is an apocalyptic number.

It is an amenable number.

105187293 is a deficient number, since it is larger than the sum of its proper divisors (49053339).

105187293 is a wasteful number, since it uses less digits than its factorization.

105187293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 105187293 is about 10256.0856568186. The cubic root of 105187293 is about 472.0497365117.

The spelling of 105187293 in words is "one hundred five million, one hundred eighty-seven thousand, two hundred ninety-three".