106663680 has 216 divisors, whose sum is σ = 378810432. Its totient is φ = 27697152.

The previous prime is 106663657. The next prime is 106663691. The reversal of 106663680 is 86366601.

It is a super-2 number, since 2×106663680² = 22754281262284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541342 + ... + 541538.

It is an arithmetic number, because the mean of its divisors is an integer number (1753752).

Almost surely, 2^106663680 is an apocalyptic number.

106663680 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 106663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189405216).

106663680 is an abundant number, since it is smaller than the sum of its proper divisors (272146752).

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

106663680 is a wasteful number, since it uses less digits than its factorization.

106663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 106663680 is about 10327.8109974960. The cubic root of 106663680 is about 474.2480142012.

It can be divided in two parts, 1066 and 63680, that added together give a palindrome (64746).

The spelling of 106663680 in words is "one hundred six million, six hundred sixty-three thousand, six hundred eighty".