106217664 has 56 divisors (see below), whose sum is σ = 321186048. Its totient is φ = 30347520.

The previous prime is 106217659. The next prime is 106217677. The reversal of 106217664 is 466712601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×106217664² = 22564384291233792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38172 + ... + 40859.

Almost surely, 2^106217664 is an apocalyptic number.

106217664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106217664 is an abundant number, since it is smaller than the sum of its proper divisors (214968384).

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

106217664 is an equidigital number, since it uses as much as digits as its factorization.

106217664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79053 (or 79043 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 106217664 is about 10306.1954182909. The cubic root of 106217664 is about 473.5860653010.

The spelling of 106217664 in words is "one hundred six million, two hundred seventeen thousand, six hundred sixty-four".