84800106 has 48 divisors (see below), whose sum is σ = 189236736. Its totient is φ = 27432288.

The previous prime is 84800087. The next prime is 84800137. The reversal of 84800106 is 60100848.

It is a super-2 number, since 2×84800106² = 14382115955222472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84800106.

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, 97831 + ... + 98693.

It is an arithmetic number, because the mean of its divisors is an integer number (3942432).

Almost surely, 2^84800106 is an apocalyptic number.

84800106 is an abundant number, since it is smaller than the sum of its proper divisors (104436630).

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

84800106 is a wasteful number, since it uses less digits than its factorization.

84800106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 84800106 is about 9208.6973020075. The cubic root of 84800106 is about 439.3380300629.

The spelling of 84800106 in words is "eighty-four million, eight hundred thousand, one hundred six".