106693200 has 300 divisors, whose sum is σ = 397681020. Its totient is φ = 27371520.

The previous prime is 106693199. The next prime is 106693211. The reversal of 106693200 is 2396601.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 685584 + 106007616 = 828^2 + 10296^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×106693200² = 22766877852480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1198756 + ... + 1198844.

Almost surely, 2^106693200 is an apocalyptic number.

106693200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106693200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198840510).

106693200 is an abundant number, since it is smaller than the sum of its proper divisors (290987820).

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

106693200 is a wasteful number, since it uses less digits than its factorization.

106693200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 106693200 is about 10329.2400494906. The cubic root of 106693200 is about 474.2917607701.

The spelling of 106693200 in words is "one hundred six million, six hundred ninety-three thousand, two hundred".