821395100106 has 48 divisors (see below), whose sum is σ = 2034072653184. Its totient is φ = 234667937952.

The previous prime is 821395100069. The next prime is 821395100117. The reversal of 821395100106 is 601001593128.

821395100106 is a `hidden beast` number, since 8 + 2 + 1 + 39 + 510 + 0 + 106 = 666.

It is a super-2 number, since 2×821395100106² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1646395 + ... + 2086481.

It is an arithmetic number, because the mean of its divisors is an integer number (42376513608).

Almost surely, 2^821395100106 is an apocalyptic number.

821395100106 is an abundant number, since it is smaller than the sum of its proper divisors (1212677553078).

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

821395100106 is a wasteful number, since it uses less digits than its factorization.

821395100106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454915 (or 454912 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 821395100106 in words is "eight hundred twenty-one billion, three hundred ninety-five million, one hundred thousand, one hundred six".