106327200 has 144 divisors (see below), whose sum is σ = 395599680. Its totient is φ = 24299520.

The previous prime is 106327187. The next prime is 106327271. The reversal of 106327200 is 2723601.

It is a happy number.

It is a super-2 number, since 2×106327200² = 22610946919680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 13636 + ... + 19964.

It is an arithmetic number, because the mean of its divisors is an integer number (2747220).

Almost surely, 2^106327200 is an apocalyptic number.

106327200 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 106327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197799840).

106327200 is an abundant number, since it is smaller than the sum of its proper divisors (289272480).

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

106327200 is a wasteful number, since it uses less digits than its factorization.

106327200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6359 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 106327200 is about 10311.5081341189. The cubic root of 106327200 is about 473.7488031474.

The spelling of 106327200 in words is "one hundred six million, three hundred twenty-seven thousand, two hundred".