106264200 has 96 divisors (see below), whose sum is σ = 376493760. Its totient is φ = 24288000.

The previous prime is 106264199. The next prime is 106264217. The reversal of 106264200 is 2462601.

It is a happy number.

It is a super-2 number, since 2×106264200² = 22584160403280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8451 + ... + 16850.

It is an arithmetic number, because the mean of its divisors is an integer number (3921810).

Almost surely, 2^106264200 is an apocalyptic number.

106264200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106264200 is an abundant number, since it is smaller than the sum of its proper divisors (270229560).

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

106264200 is a wasteful number, since it uses less digits than its factorization.

106264200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25327 (or 25318 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 106264200 is about 10308.4528422067. The cubic root of 106264200 is about 473.6552175887.

The spelling of 106264200 in words is "one hundred six million, two hundred sixty-four thousand, two hundred".