106056000 has 224 divisors, whose sum is σ = 389900160. Its totient is φ = 28224000.

The previous prime is 106055977. The next prime is 106056001. The reversal of 106056000 is 650601.

106056000 is a `hidden beast` number, since 1 + 0 + 60 + 5 + 600 + 0 = 666.

It is a super-2 number, since 2×106056000² = 22495750272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106056001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215755 + ... + 216245.

Almost surely, 2^106056000 is an apocalyptic number.

106056000 is a gapful number since it is divisible by the number (10) 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 106056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194950080).

106056000 is an abundant number, since it is smaller than the sum of its proper divisors (283844160).

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

106056000 is an equidigital number, since it uses as much as digits as its factorization.

106056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 106056000 is about 10298.3493823039. The cubic root of 106056000 is about 473.3456762414.

The spelling of 106056000 in words is "one hundred six million, fifty-six thousand".