45905100 has 72 divisors (see below), whose sum is σ = 140647248. Its totient is φ = 11520000.

The previous prime is 45905081. The next prime is 45905149. The reversal of 45905100 is 150954.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600 + ... + 9600.

It is an arithmetic number, because the mean of its divisors is an integer number (1953434).

Almost surely, 2^45905100 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 45905100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70323624).

45905100 is an abundant number, since it is smaller than the sum of its proper divisors (94742148).

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

45905100 is a wasteful number, since it uses less digits than its factorization.

45905100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9035 (or 9028 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 45905100 is about 6775.3302502535. The cubic root of 45905100 is about 358.0582180114.

The spelling of 45905100 in words is "forty-five million, nine hundred five thousand, one hundred".