106357664 has 24 divisors (see below), whose sum is σ = 239305248. Its totient is φ = 45581760.

The previous prime is 106357613. The next prime is 106357711. The reversal of 106357664 is 466753601.

It is a happy number.

It is a super-2 number, since 2×106357664² = 22623905383073792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 237182 + ... + 237629.

It is an arithmetic number, because the mean of its divisors is an integer number (9971052).

Almost surely, 2^106357664 is an apocalyptic number.

106357664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106357664 is an abundant number, since it is smaller than the sum of its proper divisors (132947584).

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

106357664 is an equidigital number, since it uses as much as digits as its factorization.

106357664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474828 (or 474820 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 106357664 is about 10312.9852128276. The cubic root of 106357664 is about 473.7940437049.

The spelling of 106357664 in words is "one hundred six million, three hundred fifty-seven thousand, six hundred sixty-four".