45194508100 has 81 divisors (see below), whose sum is σ = 114121428183. Its totient is φ = 15490157760.

The previous prime is 45194508071. The next prime is 45194508101. The reversal of 45194508100 is 180549154.

The square root of 45194508100 is 212590.

It is a perfect power (a square), and thus also a powerful number.

45194508100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2586943044 + 42607565056 = 50862^2 + 206416^2 .

It is a super-2 number, since 2×45194508100² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45194508100.

It is not an unprimeable number, because it can be changed into a prime (45194508101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14879782 + ... + 14882818.

Almost surely, 2^45194508100 is an apocalyptic number.

45194508100 is the 212590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45194508100

45194508100 is an abundant number, since it is smaller than the sum of its proper divisors (68926920083).

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

45194508100 is an equidigital number, since it uses as much as digits as its factorization.

45194508100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6102 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The spelling of 45194508100 in words is "forty-five billion, one hundred ninety-four million, five hundred eight thousand, one hundred".