106553200 has 120 divisors (see below), whose sum is σ = 285009536. Its totient is φ = 38016000.

The previous prime is 106553171. The next prime is 106553261. The reversal of 106553200 is 2355601.

It is a happy number.

It is a super-2 number, since 2×106553200² = 22707168860480000, 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 23 ways as a sum of consecutive naturals, for example, 160870 + ... + 161530.

Almost surely, 2^106553200 is an apocalyptic number.

106553200 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 106553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142504768).

106553200 is an abundant number, since it is smaller than the sum of its proper divisors (178456336).

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

106553200 is a wasteful number, since it uses less digits than its factorization.

106553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 106553200 is about 10322.4609468866. The cubic root of 106553200 is about 474.0842189247.

The spelling of 106553200 in words is "one hundred six million, five hundred fifty-three thousand, two hundred".