105200445 has 32 divisors (see below), whose sum is σ = 193114368. Its totient is φ = 47904768.

The previous prime is 105200443. The next prime is 105200461. The reversal of 105200445 is 544002501.

It is not a de Polignac number, because 105200445 - 2¹ = 105200443 is a prime.

It is a super-2 number, since 2×105200445² = 22134267256396050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105200443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27277 + ... + 30893.

It is an arithmetic number, because the mean of its divisors is an integer number (6034824).

Almost surely, 2^105200445 is an apocalyptic number.

105200445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105200445 is a deficient number, since it is larger than the sum of its proper divisors (87913923).

105200445 is a wasteful number, since it uses less digits than its factorization.

105200445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909.

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 105200445 is about 10256.7268170699. The cubic root of 105200445 is about 472.0694097987.

Adding to 105200445 its reverse (544002501), we get a palindrome (649202946).

The spelling of 105200445 in words is "one hundred five million, two hundred thousand, four hundred forty-five".