106041600 has 324 divisors, whose sum is σ = 434930496. Its totient is φ = 24145920.

The previous prime is 106041599. The next prime is 106041619. The reversal of 106041600 is 6140601.

106041600 is a `hidden beast` number, since 1 + 0 + 60 + 4 + 1 + 600 = 666.

It is a super-2 number, since 2×106041600² = 22489641861120000, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 403069 + ... + 403331.

Almost surely, 2^106041600 is an apocalyptic number.

106041600 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 106041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217465248).

106041600 is an abundant number, since it is smaller than the sum of its proper divisors (328888896).

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

106041600 is a wasteful number, since it uses less digits than its factorization.

106041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106041600 is about 10297.6502174040. The cubic root of 106041600 is about 473.3242520685.

Subtracting from 106041600 its reverse (6140601), we obtain a palindrome (99900999).

The spelling of 106041600 in words is "one hundred six million, forty-one thousand, six hundred".