101114664 has 32 divisors (see below), whose sum is σ = 288899520. Its totient is φ = 28889856.

The previous prime is 101114639. The next prime is 101114687. The reversal of 101114664 is 466411101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300769 + ... + 301104.

It is an arithmetic number, because the mean of its divisors is an integer number (9028110).

Almost surely, 2^101114664 is an apocalyptic number.

101114664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101114664 is an abundant number, since it is smaller than the sum of its proper divisors (187784856).

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

101114664 is a wasteful number, since it uses less digits than its factorization.

101114664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601889 (or 601885 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 101114664 is about 10055.5787501267. The cubic root of 101114664 is about 465.8771188951.

Adding to 101114664 its reverse (466411101), we get a palindrome (567525765).

The spelling of 101114664 in words is "one hundred one million, one hundred fourteen thousand, six hundred sixty-four".