106593200 has 60 divisors (see below), whose sum is σ = 292682160. Its totient is φ = 36545280.

The previous prime is 106593167. The next prime is 106593209. The reversal of 106593200 is 2395601.

It is a super-3 number, since 3×106593200³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106593200.

It is not an unprimeable number, because it can be changed into a prime (106593209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16235 + ... + 21834.

It is an arithmetic number, because the mean of its divisors is an integer number (4878036).

Almost surely, 2^106593200 is an apocalyptic number.

106593200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106593200 is an abundant number, since it is smaller than the sum of its proper divisors (186088960).

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

106593200 is a wasteful number, since it uses less digits than its factorization.

106593200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38094 (or 38083 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 106593200 is about 10324.3982875517. The cubic root of 106593200 is about 474.1435351358.

The spelling of 106593200 in words is "one hundred six million, five hundred ninety-three thousand, two hundred".