106668760 has 48 divisors (see below), whose sum is σ = 263818800. Its totient is φ = 38786880.

The previous prime is 106668719. The next prime is 106668763. The reversal of 106668760 is 67866601.

It is a super-2 number, since 2×106668760² = 22756448719875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106668763) 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, 6180 + ... + 15859.

It is an arithmetic number, because the mean of its divisors is an integer number (5496225).

Almost surely, 2^106668760 is an apocalyptic number.

106668760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106668760 is an abundant number, since it is smaller than the sum of its proper divisors (157150040).

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

106668760 is a wasteful number, since it uses less digits than its factorization.

106668760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22072 (or 22057 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 106668760 is about 10328.0569324535. The cubic root of 106668760 is about 474.2555429798.

It can be divided in two parts, 106 and 668760, that added together give a palindrome (668866).

The spelling of 106668760 in words is "one hundred six million, six hundred sixty-eight thousand, seven hundred sixty".