106221300 has 72 divisors (see below), whose sum is σ = 308376096. Its totient is φ = 28229760.

The previous prime is 106221259. The next prime is 106221301. The reversal of 106221300 is 3122601.

It is a super-2 number, since 2×106221300² = 22565929147380000, 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 106221300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106221301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156562 + ... + 157238.

Almost surely, 2^106221300 is an apocalyptic number.

106221300 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 106221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154188048).

106221300 is an abundant number, since it is smaller than the sum of its proper divisors (202154796).

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

106221300 is a wasteful number, since it uses less digits than its factorization.

106221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1210 counting only the distinct ones).

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

The square root of 106221300 is about 10306.3718155324. The cubic root of 106221300 is about 473.5914691080.

Adding to 106221300 its reverse (3122601), we get a palindrome (109343901).

The spelling of 106221300 in words is "one hundred six million, two hundred twenty-one thousand, three hundred".