106164200 has 48 divisors (see below), whose sum is σ = 247534380. Its totient is φ = 42344960.

The previous prime is 106164199. The next prime is 106164203. The reversal of 106164200 is 2461601.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13118884 + 93045316 = 3622^2 + 9646^2 .

It is a super-2 number, since 2×106164200² = 22541674723280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (106164203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110924 + ... + 111876.

Almost surely, 2^106164200 is an apocalyptic number.

106164200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106164200 is an abundant number, since it is smaller than the sum of its proper divisors (141370180).

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

106164200 is a wasteful number, since it uses less digits than its factorization.

106164200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 106164200 is about 10303.6013121627. The cubic root of 106164200 is about 473.5065930995.

The spelling of 106164200 in words is "one hundred six million, one hundred sixty-four thousand, two hundred".