106769664 has 180 divisors, whose sum is σ = 336360640. Its totient is φ = 33592320.

The previous prime is 106769633. The next prime is 106769671. The reversal of 106769664 is 466967601.

It is a happy number.

It is a super-2 number, since 2×106769664² = 22799522301345792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 393849 + ... + 394119.

Almost surely, 2^106769664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168180320).

106769664 is an abundant number, since it is smaller than the sum of its proper divisors (229590976).

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

106769664 is an equidigital number, since it uses as much as digits as its factorization.

106769664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 106769664 is about 10332.9407237243. The cubic root of 106769664 is about 474.4050375456.

The spelling of 106769664 in words is "one hundred six million, seven hundred sixty-nine thousand, six hundred sixty-four".