100808217 has 12 divisors (see below), whose sum is σ = 149163924. Its totient is φ = 65566080.

The previous prime is 100808207. The next prime is 100808233. The reversal of 100808217 is 712808001.

It can be written as a sum of positive squares in 2 ways, for example, as 37748736 + 63059481 = 6144^2 + 7941^2 .

It is not a de Polignac number, because 100808217 - 2⁶ = 100808153 is a prime.

It is a super-2 number, since 2×100808217² = 20324593229438178, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100808207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136228 + ... + 136965.

It is an arithmetic number, because the mean of its divisors is an integer number (12430327).

Almost surely, 2^100808217 is an apocalyptic number.

It is an amenable number.

100808217 is a deficient number, since it is larger than the sum of its proper divisors (48355707).

100808217 is a wasteful number, since it uses less digits than its factorization.

100808217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273240 (or 273237 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 100808217 is about 10040.3295264648. The cubic root of 100808217 is about 465.4059999028.

It can be divided in two parts, 100808 and 217, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 100808217 in words is "one hundred million, eight hundred eight thousand, two hundred seventeen".