106278912 has 156 divisors (see below), whose sum is σ = 325346520. Its totient is φ = 34283520.

The previous prime is 106278889. The next prime is 106278919. The reversal of 106278912 is 219872601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

106278912 is a `hidden beast` number, since 10 + 627 + 8 + 9 + 12 = 666.

It is a super-2 number, since 2×106278912² = 22590414271807488, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106278919) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3428337 + ... + 3428367.

Almost surely, 2^106278912 is an apocalyptic number.

106278912 is a gapful number since it is divisible by the number (12) 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 106278912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162673260).

106278912 is an abundant number, since it is smaller than the sum of its proper divisors (219067608).

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

106278912 is an frugal number, since it uses more digits than its factorization.

106278912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106278912 is about 10309.1664066500. The cubic root of 106278912 is about 473.6770753545.

The spelling of 106278912 in words is "one hundred six million, two hundred seventy-eight thousand, nine hundred twelve".