106300404 has 144 divisors (see below), whose sum is σ = 327499200. Its totient is φ = 29719872.

The previous prime is 106300387. The next prime is 106300433. The reversal of 106300404 is 404003601.

It is a super-2 number, since 2×106300404² = 22599551781126432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 280287 + ... + 280665.

It is an arithmetic number, because the mean of its divisors is an integer number (2274300).

Almost surely, 2^106300404 is an apocalyptic number.

106300404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106300404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163749600).

106300404 is an abundant number, since it is smaller than the sum of its proper divisors (221198796).

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

106300404 is a wasteful number, since it uses less digits than its factorization.

106300404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 106300404 is about 10310.2087272761. The cubic root of 106300404 is about 473.7090026088.

The spelling of 106300404 in words is "one hundred six million, three hundred thousand, four hundred four".