100607840208 has 80 divisors (see below), whose sum is σ = 294230543040. Its totient is φ = 32903185536.

The previous prime is 100607840173. The next prime is 100607840209. The reversal of 100607840208 is 802048706001.

100607840208 is a `hidden beast` number, since 1 + 0 + 0 + 607 + 8 + 40 + 2 + 0 + 8 = 666.

It is a super-2 number, since 2×100607840208² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100607840209) 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, 2174166 + ... + 2219957.

It is an arithmetic number, because the mean of its divisors is an integer number (3677881788).

Almost surely, 2^100607840208 is an apocalyptic number.

100607840208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100607840208 is an abundant number, since it is smaller than the sum of its proper divisors (193622702832).

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

100607840208 is a wasteful number, since it uses less digits than its factorization.

100607840208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4394193 (or 4394181 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 100607840208 in words is "one hundred billion, six hundred seven million, eight hundred forty thousand, two hundred eight".