101111664 has 40 divisors (see below), whose sum is σ = 266768640. Its totient is φ = 32986048.

The previous prime is 101111641. The next prime is 101111723. The reversal of 101111664 is 466111101.

It is a self number, because there is not a number n which added to its sum of digits gives 101111664.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 20154 + ... + 24665.

It is an arithmetic number, because the mean of its divisors is an integer number (6669216).

Almost surely, 2^101111664 is an apocalyptic number.

It is an amenable number.

101111664 is an abundant number, since it is smaller than the sum of its proper divisors (165656976).

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

101111664 is a wasteful number, since it uses less digits than its factorization.

101111664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44877 (or 44871 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 101111664 is about 10055.4295780936. The cubic root of 101111664 is about 465.8725114356.

Adding to 101111664 its reverse (466111101), we get a palindrome (567222765).

The spelling of 101111664 in words is "one hundred one million, one hundred eleven thousand, six hundred sixty-four".