45963072100 has 81 divisors (see below), whose sum is σ = 109687702411. Its totient is φ = 16705268800.

The previous prime is 45963072073. The next prime is 45963072101. The reversal of 45963072100 is 127036954.

The square root of 45963072100 is 214390.

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

45963072100 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 1580380516 + 44382691584 = 39754^2 + 210672^2 .

It is a super-2 number, since 2×45963072100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45963072100.

It is not an unprimeable number, because it can be changed into a prime (45963072101) 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, 23581926 + ... + 23583874.

Almost surely, 2^45963072100 is an apocalyptic number.

45963072100 is the 214390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45963072100

45963072100 is an abundant number, since it is smaller than the sum of its proper divisors (63724630311).

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

45963072100 is a wasteful number, since it uses less digits than its factorization.

45963072100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 45963072100 in words is "forty-five billion, nine hundred sixty-three million, seventy-two thousand, one hundred".