101205664 has 48 divisors (see below), whose sum is σ = 232581888. Its totient is φ = 42446592.

The previous prime is 101205653. The next prime is 101205677. The reversal of 101205664 is 466502101.

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, 5722 + ... + 15334.

It is an arithmetic number, because the mean of its divisors is an integer number (4845456).

Almost surely, 2^101205664 is an apocalyptic number.

101205664 is a gapful number since it is divisible by the number (14) 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 101205664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116290944).

101205664 is an abundant number, since it is smaller than the sum of its proper divisors (131376224).

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

101205664 is an equidigital number, since it uses as much as digits as its factorization.

101205664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9677 (or 9669 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 101205664 is about 10060.1025839700. The cubic root of 101205664 is about 466.0168352149.

Adding to 101205664 its reverse (466502101), we get a palindrome (567707765).

The spelling of 101205664 in words is "one hundred one million, two hundred five thousand, six hundred sixty-four".