45106600 has 192 divisors, whose sum is σ = 136598400. Its totient is φ = 13440000.

The previous prime is 45106597. The next prime is 45106603. The reversal of 45106600 is 660154.

It is an interprime number because it is at equal distance from previous prime (45106597) and next prime (45106603).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (45106603) 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, 446550 + ... + 446650.

It is an arithmetic number, because the mean of its divisors is an integer number (711450).

Almost surely, 2^45106600 is an apocalyptic number.

45106600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45106600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68299200).

45106600 is an abundant number, since it is smaller than the sum of its proper divisors (91491800).

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

45106600 is a wasteful number, since it uses less digits than its factorization.

45106600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 45106600 is about 6716.1447274459. The cubic root of 45106600 is about 355.9699717971.

Adding to 45106600 its reverse (660154), we get a palindrome (45766754).

The spelling of 45106600 in words is "forty-five million, one hundred six thousand, six hundred".