101272064 has 40 divisors (see below), whose sum is σ = 203945280. Its totient is φ = 50236416.

The previous prime is 101272051. The next prime is 101272103. The reversal of 101272064 is 460272101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70457 + ... + 71879.

It is an arithmetic number, because the mean of its divisors is an integer number (5098632).

Almost surely, 2^101272064 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 101272064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101972640).

101272064 is an abundant number, since it is smaller than the sum of its proper divisors (102673216).

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

101272064 is an equidigital number, since it uses as much as digits as its factorization.

101272064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 101272064 is about 10063.4022080010. The cubic root of 101272064 is about 466.1187292257.

The spelling of 101272064 in words is "one hundred one million, two hundred seventy-two thousand, sixty-four".