106347200 has 42 divisors (see below), whose sum is σ = 261684516. Its totient is φ = 42538240.

The previous prime is 106347181. The next prime is 106347221. The reversal of 106347200 is 2743601.

It is a super-2 number, since 2×106347200² = 22619453895680000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 31634 + ... + 34833.

Almost surely, 2^106347200 is an apocalyptic number.

106347200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106347200 is an abundant number, since it is smaller than the sum of its proper divisors (155337316).

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

106347200 is an equidigital number, since it uses as much as digits as its factorization.

106347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66489 (or 66474 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 106347200 is about 10312.4778787642. The cubic root of 106347200 is about 473.7785051178.

The spelling of 106347200 in words is "one hundred six million, three hundred forty-seven thousand, two hundred".