100405500531441 has 16 divisors (see below), whose sum is σ = 154115637942144. Its totient is φ = 56955779236224.

The previous prime is 100405500531437. The next prime is 100405500531521. The reversal of 100405500531441 is 144135005504001.

It is not a de Polignac number, because 100405500531441 - 2² = 100405500531437 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100405500531541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17449684390 + ... + 17449690143.

It is an arithmetic number, because the mean of its divisors is an integer number (9632227371384).

Almost surely, 2^{100405500531441} is an apocalyptic number.

It is an amenable number.

100405500531441 is a deficient number, since it is larger than the sum of its proper divisors (53710137410703).

100405500531441 is a wasteful number, since it uses less digits than its factorization.

100405500531441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34899374680.

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 100405500531441 in words is "one hundred trillion, four hundred five billion, five hundred million, five hundred thirty-one thousand, four hundred forty-one".