103266465201 has 27 divisors (see below), whose sum is σ = 158478231873. Its totient is φ = 64784361600.

The previous prime is 103266465191. The next prime is 103266465209. The reversal of 103266465201 is 102564662301.

The square root of 103266465201 is 321351.

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

103266465201 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 6 + 646 + 5 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16668101025 + 86598364176 = 129105^2 + 294276^2 .

It is not a de Polignac number, because 103266465201 - 2¹³ = 103266457009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103266465209) 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, 16385751 + ... + 16392051.

Almost surely, 2^103266465201 is an apocalyptic number.

103266465201 is the 321351-st square number.

103266465201 is the 160676-th centered octagonal number.

It is an amenable number.

103266465201 is a deficient number, since it is larger than the sum of its proper divisors (55211766672).

103266465201 is an frugal number, since it uses more digits than its factorization.

103266465201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12642 (or 6321 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 103266465201 by its sum of digits (36), we get a square (3717592747236 = 1928106²).

The spelling of 103266465201 in words is "one hundred three billion, two hundred sixty-six million, four hundred sixty-five thousand, two hundred one".