106628418 has 96 divisors (see below), whose sum is σ = 271252800. Its totient is φ = 29973888.

The previous prime is 106628407. The next prime is 106628441. The reversal of 106628418 is 814826601.

106628418 is a `hidden beast` number, since 10 + 6 + 628 + 4 + 18 = 666.

It is a super-2 number, since 2×106628418² = 22739239050365448, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128521 + ... + 129347.

It is an arithmetic number, because the mean of its divisors is an integer number (2825550).

Almost surely, 2^106628418 is an apocalyptic number.

106628418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106628418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135626400).

106628418 is an abundant number, since it is smaller than the sum of its proper divisors (164624382).

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

106628418 is a wasteful number, since it uses less digits than its factorization.

106628418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 106628418 is about 10326.1037182473. The cubic root of 106628418 is about 474.1957478108.

The spelling of 106628418 in words is "one hundred six million, six hundred twenty-eight thousand, four hundred eighteen".