105046893 has 48 divisors (see below), whose sum is σ = 187963776. Its totient is φ = 55157760.

The previous prime is 105046891. The next prime is 105046933. The reversal of 105046893 is 398640501.

105046893 is a `hidden beast` number, since 1 + 0 + 504 + 68 + 93 = 666.

It is not a de Polignac number, because 105046893 - 2¹ = 105046891 is a prime.

It is a super-2 number, since 2×105046893² = 22069699457906898, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105046891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44913 + ... + 47193.

It is an arithmetic number, because the mean of its divisors is an integer number (3915912).

Almost surely, 2^105046893 is an apocalyptic number.

It is an amenable number.

105046893 is a deficient number, since it is larger than the sum of its proper divisors (82916883).

105046893 is a wasteful number, since it uses less digits than its factorization.

105046893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 105046893 is about 10249.2386546514. The cubic root of 105046893 is about 471.8396183170.

The spelling of 105046893 in words is "one hundred five million, forty-six thousand, eight hundred ninety-three".