105803145 has 64 divisors (see below), whose sum is σ = 217251840. Its totient is φ = 47853504.

The previous prime is 105803129. The next prime is 105803161. The reversal of 105803145 is 541308501.

105803145 is a `hidden beast` number, since 10 + 580 + 31 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (105803129) and next prime (105803161).

It is not a de Polignac number, because 105803145 - 2⁴ = 105803129 is a prime.

It is a super-2 number, since 2×105803145² = 22388610983782050, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96792 + ... + 97878.

It is an arithmetic number, because the mean of its divisors is an integer number (3394560).

Almost surely, 2^105803145 is an apocalyptic number.

105803145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105803145 is an abundant number, since it is smaller than the sum of its proper divisors (111448695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105803145 is a wasteful number, since it uses less digits than its factorization.

105803145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105803145 is about 10286.0655743584. The cubic root of 105803145 is about 472.9691988281.

The spelling of 105803145 in words is "one hundred five million, eight hundred three thousand, one hundred forty-five".