45010 has 16 divisors (see below), whose sum is σ = 92736. Its totient is φ = 15408.

The previous prime is 45007. The next prime is 45013. The reversal of 45010 is 1054.

It is an interprime number because it is at equal distance from previous prime (45007) and next prime (45013).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (45013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252 + ... + 391.

It is an arithmetic number, because the mean of its divisors is an integer number (5796).

2⁴⁵⁰¹⁰ is an apocalyptic number.

45010 is an abundant number, since it is smaller than the sum of its proper divisors (47726).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46368).

45010 is a wasteful number, since it uses less digits than its factorization.

45010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657.

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 45010 is about 212.1556032727. The cubic root of 45010 is about 35.5715675855.

Adding to 45010 its reverse (1054), we get a palindrome (46064).

Subtracting from 45010 its reverse (1054), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 45010 in words is "forty-five thousand, ten".