106678451 has 16 divisors (see below), whose sum is σ = 123949440. Its totient is φ = 90737280.

The previous prime is 106678427. The next prime is 106678457. The reversal of 106678451 is 154876601.

It is a cyclic number.

It is not a de Polignac number, because 106678451 - 2²⁶ = 39569587 is a prime.

It is a super-3 number, since 3×106678451³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106678457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31880 + ... + 35066.

It is an arithmetic number, because the mean of its divisors is an integer number (7746840).

Almost surely, 2^106678451 is an apocalyptic number.

106678451 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106678451 is a deficient number, since it is larger than the sum of its proper divisors (17270989).

106678451 is a wasteful number, since it uses less digits than its factorization.

106678451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394.

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 106678451 is about 10328.5260807145. The cubic root of 106678451 is about 474.2699047957.

The spelling of 106678451 in words is "one hundred six million, six hundred seventy-eight thousand, four hundred fifty-one".