45860100 has 144 divisors (see below), whose sum is σ = 156031680. Its totient is φ = 10252800.

The previous prime is 45860083. The next prime is 45860117. The reversal of 45860100 is 106854.

It is an interprime number because it is at equal distance from previous prime (45860083) and next prime (45860117).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42366 + ... + 43434.

Almost surely, 2^45860100 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 45860100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78015840).

45860100 is an abundant number, since it is smaller than the sum of its proper divisors (110171580).

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

45860100 is a wasteful number, since it uses less digits than its factorization.

45860100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 45860100 is about 6772.0085646727. The cubic root of 45860100 is about 357.9411802701.

Adding to 45860100 its reverse (106854), we get a palindrome (45966954).

The spelling of 45860100 in words is "forty-five million, eight hundred sixty thousand, one hundred".