106854879 has 32 divisors (see below), whose sum is σ = 156672000. Its totient is φ = 64520064.

The previous prime is 106854863. The next prime is 106854889. The reversal of 106854879 is 978458601.

It is not a de Polignac number, because 106854879 - 2⁴ = 106854863 is a prime.

It is a super-2 number, since 2×106854879² = 22835930332209282, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106854889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209677 + ... + 210185.

It is an arithmetic number, because the mean of its divisors is an integer number (4896000).

Almost surely, 2^106854879 is an apocalyptic number.

106854879 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

106854879 is a deficient number, since it is larger than the sum of its proper divisors (49817121).

106854879 is a wasteful number, since it uses less digits than its factorization.

106854879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687.

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 106854879 is about 10337.0633644183. The cubic root of 106854879 is about 474.5312146933.

The spelling of 106854879 in words is "one hundred six million, eight hundred fifty-four thousand, eight hundred seventy-nine".