106054920 has 112 divisors (see below), whose sum is σ = 357870060. Its totient is φ = 28273536.

The previous prime is 106054867. The next prime is 106054931. The reversal of 106054920 is 29450601.

106054920 is a `hidden beast` number, since 10 + 605 + 49 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91355364 + 14699556 = 9558^2 + 3834^2 .

It is a super-2 number, since 2×106054920² = 22495292112412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27342 + ... + 30978.

Almost surely, 2^106054920 is an apocalyptic number.

106054920 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 106054920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178935030).

106054920 is an abundant number, since it is smaller than the sum of its proper divisors (251815140).

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

106054920 is an equidigital number, since it uses as much as digits as its factorization.

106054920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106054920 is about 10298.2969465830. The cubic root of 106054920 is about 473.3440694957.

The spelling of 106054920 in words is "one hundred six million, fifty-four thousand, nine hundred twenty".