106644300 has 144 divisors (see below), whose sum is σ = 361143552. Its totient is φ = 23788800.

The previous prime is 106644289. The next prime is 106644301. The reversal of 106644300 is 3446601.

It is a super-2 number, since 2×106644300² = 22746013444980000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106644301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 89710 + ... + 90890.

Almost surely, 2^106644300 is an apocalyptic number.

106644300 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 106644300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180571776).

106644300 is an abundant number, since it is smaller than the sum of its proper divisors (254499252).

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

106644300 is a wasteful number, since it uses less digits than its factorization.

106644300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 106644300 is about 10326.8727115231. The cubic root of 106644300 is about 474.2192900119.

The spelling of 106644300 in words is "one hundred six million, six hundred forty-four thousand, three hundred".