45101016900 has 81 divisors (see below), whose sum is σ = 141386604541. Its totient is φ = 12025238880.

The previous prime is 45101016893. The next prime is 45101016901. The reversal of 45101016900 is 961010154.

The square root of 45101016900 is 212370.

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

It can be written as a sum of positive squares in only one way, i.e., 16236366084 + 28864650816 = 127422^2 + 169896^2 .

It is a super-2 number, since 2×45101016900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45101016901) 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, 6367561 + ... + 6374639.

Almost surely, 2^45101016900 is an apocalyptic number.

45101016900 is the 212370-th square number.

It is an amenable number.

45101016900 is an abundant number, since it is smaller than the sum of its proper divisors (96285587641).

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

45101016900 is an equidigital number, since it uses as much as digits as its factorization.

45101016900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14178 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 45101016900 in words is "forty-five billion, one hundred one million, sixteen thousand, nine hundred".