106854336 has 56 divisors (see below), whose sum is σ = 314137040. Its totient is φ = 35617536.

The previous prime is 106854331. The next prime is 106854337. The reversal of 106854336 is 633458601.

106854336 is a `hidden beast` number, since 106 + 8 + 543 + 3 + 6 = 666.

It is a super-2 number, since 2×106854336² = 22835698244001792, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106854336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106854331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29191 + ... + 32646.

It is an arithmetic number, because the mean of its divisors is an integer number (5609590).

Almost surely, 2^106854336 is an apocalyptic number.

106854336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106854336 is an abundant number, since it is smaller than the sum of its proper divisors (207282704).

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

106854336 is an equidigital number, since it uses as much as digits as its factorization.

106854336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61858 (or 61842 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 106854336 is about 10337.0370996722. The cubic root of 106854336 is about 474.5304108900.

The spelling of 106854336 in words is "one hundred six million, eight hundred fifty-four thousand, three hundred thirty-six".