106344400 has 30 divisors (see below), whose sum is σ = 255493382. Its totient is φ = 42537600.

The previous prime is 106344379. The next prime is 106344419. The reversal of 106344400 is 4443601.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7056 + 106337344 = 84^2 + 10312^2 .

It is a super-2 number, since 2×106344400² = 22618262822720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132531 + ... + 133330.

Almost surely, 2^106344400 is an apocalyptic number.

106344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106344400 is an abundant number, since it is smaller than the sum of its proper divisors (149148982).

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

106344400 is a wasteful number, since it uses less digits than its factorization.

106344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265879 (or 265868 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 106344400 is about 10312.3421200036. The cubic root of 106344400 is about 473.7743470662.

The spelling of 106344400 in words is "one hundred six million, three hundred forty-four thousand, four hundred".