106665700 has 36 divisors (see below), whose sum is σ = 232485120. Its totient is φ = 42478240.

The previous prime is 106665661. The next prime is 106665731. The reversal of 106665700 is 7566601.

It is a super-2 number, since 2×106665700² = 22755143112980000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21669 + ... + 26131.

It is an arithmetic number, because the mean of its divisors is an integer number (6457920).

Almost surely, 2^106665700 is an apocalyptic number.

106665700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106665700 is an abundant number, since it is smaller than the sum of its proper divisors (125819420).

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

106665700 is a wasteful number, since it uses less digits than its factorization.

106665700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 106665700 is about 10327.9087912316. The cubic root of 106665700 is about 474.2510079568.

Subtracting from 106665700 its reverse (7566601), we obtain a palindrome (99099099).

It can be divided in two parts, 1066 and 65700, that added together give a palindrome (66766).

The spelling of 106665700 in words is "one hundred six million, six hundred sixty-five thousand, seven hundred".