45123100 has 144 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 14515200.

The previous prime is 45123059. The next prime is 45123107. The reversal of 45123100 is 132154.

It is a super-2 number, since 2×45123100² = 4072188307220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45123107) 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, 355237 + ... + 355363.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 2^45123100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

45123100 is an abundant number, since it is smaller than the sum of its proper divisors (74869220).

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

45123100 is a wasteful number, since it uses less digits than its factorization.

45123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 45123100 is about 6717.3729984273. The cubic root of 45123100 is about 356.0133711259.

Adding to 45123100 its reverse (132154), we get a palindrome (45255254).

The spelling of 45123100 in words is "forty-five million, one hundred twenty-three thousand, one hundred".