45106002 has 18 divisors (see below), whose sum is σ = 97791447. Its totient is φ = 15025836.

The previous prime is 45105953. The next prime is 45106007. The reversal of 45106002 is 20060154.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 22553001 + 22553001 = 4749^2 + 4749^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4749.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (45106007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27703 + ... + 29285.

Almost surely, 2^45106002 is an apocalyptic number.

45106002 is an abundant number, since it is smaller than the sum of its proper divisors (52685445).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45106002 is an equidigital number, since it uses as much as digits as its factorization.

45106002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 45106002 is about 6716.1002077098. The cubic root of 45106002 is about 355.9683987015.

Multiplying 45106002 by its sum of digits (18), we get a square (811908036 = 28494²).

45106002 divided by its sum of digits (18) gives a square (2505889 = 1583²).

Adding to 45106002 its reverse (20060154), we get a palindrome (65166156).

The spelling of 45106002 in words is "forty-five million, one hundred six thousand, two".