100665216090 has 24 divisors (see below), whose sum is σ = 261729562068. Its totient is φ = 26844057600.

The previous prime is 100665216061. The next prime is 100665216103. The reversal of 100665216090 is 90612566001.

100665216090 is a `hidden beast` number, since 10 + 0 + 66 + 521 + 60 + 9 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97611880041 + 3053336049 = 312429^2 + 55257^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559251111 + ... + 559251290.

Almost surely, 2^100665216090 is an apocalyptic number.

100665216090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100665216090 is an abundant number, since it is smaller than the sum of its proper divisors (161064345978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100665216090 is a wasteful number, since it uses less digits than its factorization.

100665216090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118502414 (or 1118502411 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 100665216090 in words is "one hundred billion, six hundred sixty-five million, two hundred sixteen thousand, ninety".