105505245 has 48 divisors (see below), whose sum is σ = 192471552. Its totient is φ = 53389440.

The previous prime is 105505237. The next prime is 105505249. The reversal of 105505245 is 542505501.

It is not a de Polignac number, because 105505245 - 2³ = 105505237 is a prime.

It is a super-2 number, since 2×105505245² = 22262713445020050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505249) 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, 73222 + ... + 74648.

It is an arithmetic number, because the mean of its divisors is an integer number (4009824).

Almost surely, 2^105505245 is an apocalyptic number.

105505245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105505245 is a deficient number, since it is larger than the sum of its proper divisors (86966307).

105505245 is a wasteful number, since it uses less digits than its factorization.

105505245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 105505245 is about 10271.5746115189. The cubic root of 105505245 is about 472.5248832113.

The spelling of 105505245 in words is "one hundred five million, five hundred five thousand, two hundred forty-five".