100416620565 has 80 divisors (see below), whose sum is σ = 180965664000. Its totient is φ = 53270949888.

The previous prime is 100416620539. The next prime is 100416620569. The reversal of 100416620565 is 565026614001.

100416620565 is a `hidden beast` number, since 10 + 0 + 4 + 1 + 66 + 20 + 565 = 666.

It is not a de Polignac number, because 100416620565 - 2¹¹ = 100416618517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100416620569) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87091029 + ... + 87092181.

It is an arithmetic number, because the mean of its divisors is an integer number (2262070800).

Almost surely, 2^100416620565 is an apocalyptic number.

100416620565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100416620565 is a deficient number, since it is larger than the sum of its proper divisors (80549043435).

100416620565 is a wasteful number, since it uses less digits than its factorization.

100416620565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 100416620565 in words is "one hundred billion, four hundred sixteen million, six hundred twenty thousand, five hundred sixty-five".