106452800 has 42 divisors (see below), whose sum is σ = 261944358. Its totient is φ = 42580480.

The previous prime is 106452781. The next prime is 106452803. The reversal of 106452800 is 8254601.

It can be written as a sum of positive squares in 3 ways, for example, as 29855296 + 76597504 = 5464^2 + 8752^2 .

It is a super-2 number, since 2×106452800² = 22664397255680000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106452800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106452803) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 31667 + ... + 34866.

Almost surely, 2^106452800 is an apocalyptic number.

106452800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106452800 is an abundant number, since it is smaller than the sum of its proper divisors (155491558).

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

106452800 is an equidigital number, since it uses as much as digits as its factorization.

106452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66555 (or 66540 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 106452800 is about 10317.5966193683. The cubic root of 106452800 is about 473.9352698139.

The spelling of 106452800 in words is "one hundred six million, four hundred fifty-two thousand, eight hundred".