106278084 has 72 divisors (see below), whose sum is σ = 310328928. Its totient is φ = 30309120.

The previous prime is 106278083. The next prime is 106278089. The reversal of 106278084 is 480872601.

It is a super-2 number, since 2×106278084² = 22590062277422112, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106278083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1162 + ... + 14625.

It is an arithmetic number, because the mean of its divisors is an integer number (4310124).

Almost surely, 2^106278084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106278084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155164464).

106278084 is an abundant number, since it is smaller than the sum of its proper divisors (204050844).

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

106278084 is a wasteful number, since it uses less digits than its factorization.

106278084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15825 (or 15820 counting only the distinct ones).

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

The square root of 106278084 is about 10309.1262481357. The cubic root of 106278084 is about 473.6758452402.

The spelling of 106278084 in words is "one hundred six million, two hundred seventy-eight thousand, eighty-four".