105006045 has 16 divisors (see below), whose sum is σ = 168138432. Its totient is φ = 55960320.

The previous prime is 105006029. The next prime is 105006079. The reversal of 105006045 is 540600501.

It is a happy number.

It is not a de Polignac number, because 105006045 - 2⁴ = 105006029 is a prime.

It is a super-2 number, since 2×105006045² = 22052538973084050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32085 + ... + 35205.

It is an arithmetic number, because the mean of its divisors is an integer number (10508652).

Almost surely, 2^105006045 is an apocalyptic number.

105006045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105006045 is a deficient number, since it is larger than the sum of its proper divisors (63132387).

105006045 is a wasteful number, since it uses less digits than its factorization.

105006045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5372.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105006045 is about 10247.2457275114. The cubic root of 105006045 is about 471.7784513373.

Adding to 105006045 its reverse (540600501), we get a palindrome (645606546).

The spelling of 105006045 in words is "one hundred five million, six thousand, forty-five".