101564064 has 144 divisors (see below), whose sum is σ = 344736000. Its totient is φ = 29006208.

The previous prime is 101564053. The next prime is 101564083. The reversal of 101564064 is 460465101.

101564064 is a `hidden beast` number, since 1 + 0 + 15 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 41137 + ... + 43535.

It is an arithmetic number, because the mean of its divisors is an integer number (2394000).

Almost surely, 2^101564064 is an apocalyptic number.

101564064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101564064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368000).

101564064 is an abundant number, since it is smaller than the sum of its proper divisors (243171936).

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

101564064 is a wasteful number, since it uses less digits than its factorization.

101564064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 101564064 is about 10077.8997812044. The cubic root of 101564064 is about 466.5662895221.

The spelling of 101564064 in words is "one hundred one million, five hundred sixty-four thousand, sixty-four".