104263764201 has 27 divisors (see below), whose sum is σ = 154836808581. Its totient is φ = 67607301024.

The previous prime is 104263764193. The next prime is 104263764259. The reversal of 104263764201 is 102467362401.

The square root of 104263764201 is 322899.

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

104263764201 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 6 + 3 + 7 + 642 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60656301225 + 43607462976 = 246285^2 + 208824^2 .

It is not a de Polignac number, because 104263764201 - 2³ = 104263764193 is a prime.

It is a super-3 number, since 3×104263764201³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (104263764301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35840335 + ... + 35843243.

Almost surely, 2^104263764201 is an apocalyptic number.

104263764201 is the 322899-th square number.

104263764201 is the 161450-th centered octagonal number.

It is an amenable number.

104263764201 is a deficient number, since it is larger than the sum of its proper divisors (50573044380).

104263764201 is an frugal number, since it uses more digits than its factorization.

104263764201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 104263764201 by its sum of digits (36), we get a square (3753495511236 = 1937394²).

The spelling of 104263764201 in words is "one hundred four billion, two hundred sixty-three million, seven hundred sixty-four thousand, two hundred one".