100945283405409 has 27 divisors (see below), whose sum is σ = 154892222640883. Its totient is φ = 63337895529792.

The previous prime is 100945283405381. The next prime is 100945283405411. The reversal of 100945283405409 is 904504382549001.

It is a happy number.

The square root of 100945283405409 is 10047153.

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

100945283405409 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 4 + 52 + 8 + 3 + 40 + 540 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78590618568225 + 22354664837184 = 8865135^2 + 4728072^2 .

It is not a de Polignac number, because 100945283405409 - 2¹¹ = 100945283403361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100945283404409) 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, 512306302 + ... + 512503304.

Almost surely, 2^{100945283405409} is an apocalyptic number.

100945283405409 is the 10047153-rd square number.

100945283405409 is the 5023577-th centered octagonal number.

It is an amenable number.

100945283405409 is a deficient number, since it is larger than the sum of its proper divisors (53946939235474).

100945283405409 is an frugal number, since it uses more digits than its factorization.

100945283405409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394046 (or 197023 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 100945283405409 in words is "one hundred trillion, nine hundred forty-five billion, two hundred eighty-three million, four hundred five thousand, four hundred nine".