106837200 has 180 divisors, whose sum is σ = 377788320. Its totient is φ = 27951360.

The previous prime is 106837183. The next prime is 106837217. The reversal of 106837200 is 2738601.

It is an interprime number because it is at equal distance from previous prime (106837183) and next prime (106837217).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×106837200² = 22828374607680000, which contains 22 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 212149 + ... + 212651.

It is an arithmetic number, because the mean of its divisors is an integer number (2098824).

Almost surely, 2^106837200 is an apocalyptic number.

106837200 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 106837200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188894160).

106837200 is an abundant number, since it is smaller than the sum of its proper divisors (270951120).

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

106837200 is a wasteful number, since it uses less digits than its factorization.

106837200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106837200 is about 10336.2082022374. The cubic root of 106837200 is about 474.5050430602.

The spelling of 106837200 in words is "one hundred six million, eight hundred thirty-seven thousand, two hundred".