106547200 has 72 divisors (see below), whose sum is σ = 264299490. Its totient is φ = 42598400.

The previous prime is 106547191. The next prime is 106547213. The reversal of 106547200 is 2745601.

It can be written as a sum of positive squares in 3 ways, for example, as 72999936 + 33547264 = 8544^2 + 5792^2 .

It is a super-2 number, since 2×106547200² = 22704611655680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50160 + ... + 52240.

Almost surely, 2^106547200 is an apocalyptic number.

106547200 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 106547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132149745).

106547200 is an abundant number, since it is smaller than the sum of its proper divisors (157752290).

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

106547200 is an equidigital number, since it uses as much as digits as its factorization.

106547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 106547200 is about 10322.1703144252. The cubic root of 106547200 is about 474.0753202128.

The spelling of 106547200 in words is "one hundred six million, five hundred forty-seven thousand, two hundred".