106209600 has 336 divisors, whose sum is σ = 415747200. Its totient is φ = 23224320.

The previous prime is 106209599. The next prime is 106209641. The reversal of 106209600 is 6902601.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×106209600² = 22560958264320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 974346 + ... + 974454.

Almost surely, 2^106209600 is an apocalyptic number.

106209600 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 106209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207873600).

106209600 is an abundant number, since it is smaller than the sum of its proper divisors (309537600).

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

106209600 is a wasteful number, since it uses less digits than its factorization.

106209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 106209600 is about 10305.8041898728. The cubic root of 106209600 is about 473.5740801799.

The spelling of 106209600 in words is "one hundred six million, two hundred nine thousand, six hundred".