101105664 has 180 divisors, whose sum is σ = 313776792. Its totient is φ = 28835840.

The previous prime is 101105621. The next prime is 101105671. The reversal of 101105664 is 466501101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5947384 + ... + 5947400.

Almost surely, 2^101105664 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 101105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156888396).

101105664 is an abundant number, since it is smaller than the sum of its proper divisors (212671128).

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

101105664 is an equidigital number, since it uses as much as digits as its factorization.

101105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 101105664 is about 10055.1312273883. The cubic root of 101105664 is about 465.8632962430.

Adding to 101105664 its reverse (466501101), we get a palindrome (567606765).

The spelling of 101105664 in words is "one hundred one million, one hundred five thousand, six hundred sixty-four".