106045200 has 180 divisors, whose sum is σ = 381985968. Its totient is φ = 28252800.

The previous prime is 106045193. The next prime is 106045217. The reversal of 106045200 is 2540601.

It is a happy number.

106045200 is a `hidden beast` number, since 10 + 604 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×106045200² = 22491168886080000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96655 + ... + 97745.

Almost surely, 2^106045200 is an apocalyptic number.

106045200 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 106045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190992984).

106045200 is an abundant number, since it is smaller than the sum of its proper divisors (275940768).

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

106045200 is a wasteful number, since it uses less digits than its factorization.

106045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 106045200 is about 10297.8250130792. The cubic root of 106045200 is about 473.3296082935.

Adding to 106045200 its reverse (2540601), we get a palindrome (108585801).

The spelling of 106045200 in words is "one hundred six million, forty-five thousand, two hundred".