4097280100 has 81 divisors (see below), whose sum is σ = 9191017857. Its totient is φ = 1585399680.

The previous prime is 4097280067. The next prime is 4097280119. The reversal of 4097280100 is 10827904.

The square root of 4097280100 is 64010.

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 256036 + 4097024064 = 506^2 + 64008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23683614 + ... + 23683786.

Almost surely, 2^4097280100 is an apocalyptic number.

4097280100 is the 64010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4097280100

4097280100 is an abundant number, since it is smaller than the sum of its proper divisors (5093737757).

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

4097280100 is a wasteful number, since it uses less digits than its factorization.

4097280100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The cubic root of 4097280100 is about 1600.1666623267.

The spelling of 4097280100 in words is "four billion, ninety-seven million, two hundred eighty thousand, one hundred".