101271664 has 40 divisors (see below), whose sum is σ = 217034720. Its totient is φ = 45474048.

The previous prime is 101271661. The next prime is 101271679. The reversal of 101271664 is 466172101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101271661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1117 + ... + 14275.

It is an arithmetic number, because the mean of its divisors is an integer number (5425868).

Almost surely, 2^101271664 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 101271664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108517360).

101271664 is an abundant number, since it is smaller than the sum of its proper divisors (115763056).

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

101271664 is a wasteful number, since it uses less digits than its factorization.

101271664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13217 (or 13211 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 101271664 is about 10063.3823339869. The cubic root of 101271664 is about 466.1181155398.

The spelling of 101271664 in words is "one hundred one million, two hundred seventy-one thousand, six hundred sixty-four".