106653300 has 288 divisors, whose sum is σ = 367476480. Its totient is φ = 23654400.

The previous prime is 106653247. The next prime is 106653301. The reversal of 106653300 is 3356601.

It is a super-2 number, since 2×106653300² = 22749852801780000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106653301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2601280 + ... + 2601320.

It is an arithmetic number, because the mean of its divisors is an integer number (1275960).

Almost surely, 2^106653300 is an apocalyptic number.

106653300 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 106653300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183738240).

106653300 is an abundant number, since it is smaller than the sum of its proper divisors (260823180).

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

106653300 is a wasteful number, since it uses less digits than its factorization.

106653300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 106653300 is about 10327.3084586450. The cubic root of 106653300 is about 474.2326298515.

It can be divided in two parts, 106653 and 300, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 106653300 in words is "one hundred six million, six hundred fifty-three thousand, three hundred".