106521200 has 60 divisors (see below), whose sum is σ = 257094408. Its totient is φ = 42412800.

The previous prime is 106521179. The next prime is 106521241. The reversal of 106521200 is 2125601.

It is a super-2 number, since 2×106521200² = 22693532098880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112730 + ... + 113670.

Almost surely, 2^106521200 is an apocalyptic number.

106521200 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 106521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128547204).

106521200 is an abundant number, since it is smaller than the sum of its proper divisors (150573208).

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

106521200 is a wasteful number, since it uses less digits than its factorization.

106521200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 106521200 is about 10320.9108125204. The cubic root of 106521200 is about 474.0367552667.

Adding to 106521200 its reverse (2125601), we get a palindrome (108646801).

The spelling of 106521200 in words is "one hundred six million, five hundred twenty-one thousand, two hundred".