106323600 has 120 divisors (see below), whose sum is σ = 342915552. Its totient is φ = 28160000.

The previous prime is 106323577. The next prime is 106323611. The reversal of 106323600 is 6323601.

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

It is a super-2 number, since 2×106323600² = 22609415833920000, 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 23 ways as a sum of consecutive naturals, for example, 301024 + ... + 301376.

Almost surely, 2^106323600 is an apocalyptic number.

106323600 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 106323600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171457776).

106323600 is an abundant number, since it is smaller than the sum of its proper divisors (236591952).

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

106323600 is a wasteful number, since it uses less digits than its factorization.

106323600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 106323600 is about 10311.3335703972. Note that the first 3 decimals coincide. The cubic root of 106323600 is about 473.7434563972.

Subtracting from 106323600 its reverse (6323601), we obtain a palindrome (99999999).

The spelling of 106323600 in words is "one hundred six million, three hundred twenty-three thousand, six hundred".