106321200 has 120 divisors (see below), whose sum is σ = 349050576. Its totient is φ = 27648000.

The previous prime is 106321181. The next prime is 106321211. The reversal of 106321200 is 2123601.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106321200² = 22608395138880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 106321200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48120 + ... + 50280.

Almost surely, 2^106321200 is an apocalyptic number.

106321200 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 106321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174525288).

106321200 is an abundant number, since it is smaller than the sum of its proper divisors (242729376).

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

106321200 is a wasteful number, since it uses less digits than its factorization.

106321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 106321200 is about 10311.2171929409. The cubic root of 106321200 is about 473.7398918300.

Adding to 106321200 its reverse (2123601), we get a palindrome (108444801).

The spelling of 106321200 in words is "one hundred six million, three hundred twenty-one thousand, two hundred".