45395100 has 288 divisors, whose sum is σ = 164989440. Its totient is φ = 10644480.

The previous prime is 45395099. The next prime is 45395101. The reversal of 45395100 is 159354.

45395100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45395099) and next prime (45395101).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45395101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1055679 + ... + 1055721.

It is an arithmetic number, because the mean of its divisors is an integer number (572880).

Almost surely, 2^45395100 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 45395100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

45395100 is an abundant number, since it is smaller than the sum of its proper divisors (119594340).

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

45395100 is a wasteful number, since it uses less digits than its factorization.

45395100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 45395100 is about 6737.5885893990. The cubic root of 45395100 is about 356.7272827169.

The spelling of 45395100 in words is "forty-five million, three hundred ninety-five thousand, one hundred".