106200666 has 128 divisors (see below), whose sum is σ = 293932800. Its totient is φ = 27924480.

The previous prime is 106200659. The next prime is 106200667. The reversal of 106200666 is 666002601.

It is a super-2 number, since 2×106200666² = 22557162917687112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106200667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130870 + ... + 131678.

It is an arithmetic number, because the mean of its divisors is an integer number (2296350).

Almost surely, 2^106200666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106200666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146966400).

106200666 is an abundant number, since it is smaller than the sum of its proper divisors (187732134).

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

106200666 is a wasteful number, since it uses less digits than its factorization.

106200666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 855 counting only the distinct ones).

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

The square root of 106200666 is about 10305.3707356892. The cubic root of 106200666 is about 473.5608013129.

The spelling of 106200666 in words is "one hundred six million, two hundred thousand, six hundred sixty-six".