721973096100 has 243 divisors, whose sum is σ = 2352145306147. Its totient is φ = 192342625920.

The previous prime is 721973096093. The next prime is 721973096161. The reversal of 721973096100 is 1690379127.

The square root of 721973096100 is 849690.

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

721973096100 is a `hidden beast` number, since 7 + 21 + 9 + 7 + 3 + 0 + 9 + 610 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77369647716 + 644603448384 = 278154^2 + 802872^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 688248376 + ... + 688249424.

Almost surely, 2^721973096100 is an apocalyptic number.

721973096100 is the 849690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 721973096100

721973096100 is an abundant number, since it is smaller than the sum of its proper divisors (1630172210047).

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

721973096100 is an frugal number, since it uses more digits than its factorization.

721973096100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 721973096100 in words is "seven hundred twenty-one billion, nine hundred seventy-three million, ninety-six thousand, one hundred".