105163773 has 64 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 55560960.

The previous prime is 105163711. The next prime is 105163813. The reversal of 105163773 is 377361501.

It is not a de Polignac number, because 105163773 - 2¹³ = 105155581 is a prime.

It is a super-2 number, since 2×105163773² = 22118838303191058, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105163703) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 982786 + ... + 982892.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^105163773 is an apocalyptic number.

105163773 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105163773 is a deficient number, since it is larger than the sum of its proper divisors (69018627).

105163773 is a wasteful number, since it uses less digits than its factorization.

105163773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242.

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 105163773 is about 10254.9389564249. The cubic root of 105163773 is about 472.0145502672.

It can be divided in two parts, 105 and 163773, that added together give a triangular number (163878 = T₅₇₂).

The spelling of 105163773 in words is "one hundred five million, one hundred sixty-three thousand, seven hundred seventy-three".