106662600 has 144 divisors (see below), whose sum is σ = 390845520. Its totient is φ = 25852800.

The previous prime is 106662581. The next prime is 106662643. The reversal of 106662600 is 6266601.

It is a super-2 number, since 2×106662600² = 22753820477520000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17107 + ... + 22493.

It is an arithmetic number, because the mean of its divisors is an integer number (2714205).

Almost surely, 2^106662600 is an apocalyptic number.

106662600 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 106662600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195422760).

106662600 is an abundant number, since it is smaller than the sum of its proper divisors (284182920).

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

106662600 is a wasteful number, since it uses less digits than its factorization.

106662600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420 (or 5408 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106662600 is about 10327.7587113565. The cubic root of 106662600 is about 474.2464135640.

The spelling of 106662600 in words is "one hundred six million, six hundred sixty-two thousand, six hundred".