73554864100 has 81 divisors (see below), whose sum is σ = 164268644337. Its totient is φ = 28587703680.

The previous prime is 73554864079. The next prime is 73554864109. The reversal of 73554864100 is 146845537.

The square root of 73554864100 is 271210.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1992193956 + 71562670144 = 44634^2 + 267512^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73554864109) 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, 100347334 + ... + 100348066.

Almost surely, 2^73554864100 is an apocalyptic number.

73554864100 is the 271210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73554864100

73554864100 is an abundant number, since it is smaller than the sum of its proper divisors (90713780237).

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

73554864100 is an equidigital number, since it uses as much as digits as its factorization.

73554864100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 73554864100 in words is "seventy-three billion, five hundred fifty-four million, eight hundred sixty-four thousand, one hundred".