106607200 has 72 divisors (see below), whose sum is σ = 297449712. Its totient is φ = 36549120.

The previous prime is 106607197. The next prime is 106607201. The reversal of 106607200 is 2706601.

It is a super-2 number, since 2×106607200² = 22730190183680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106607201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3919 + ... + 15118.

It is an arithmetic number, because the mean of its divisors is an integer number (4131246).

Almost surely, 2^106607200 is an apocalyptic number.

106607200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106607200 is an abundant number, since it is smaller than the sum of its proper divisors (190842512).

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

106607200 is a wasteful number, since it uses less digits than its factorization.

106607200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19064 (or 19051 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 106607200 is about 10325.0762709047. The cubic root of 106607200 is about 474.1642923039.

The spelling of 106607200 in words is "one hundred six million, six hundred seven thousand, two hundred".