101039948064 has 144 divisors (see below), whose sum is σ = 314477523360. Its totient is φ = 30518138880.

The previous prime is 101039948041. The next prime is 101039948077. The reversal of 101039948064 is 460849930101.

101039948064 is a `hidden beast` number, since 1 + 0 + 103 + 9 + 9 + 480 + 64 = 666.

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

It is a super-2 number, since 2×101039948064² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 920632 + ... + 1024520.

It is an arithmetic number, because the mean of its divisors is an integer number (2183871690).

Almost surely, 2^101039948064 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 101039948064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157238761680).

101039948064 is an abundant number, since it is smaller than the sum of its proper divisors (213437575296).

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

101039948064 is a wasteful number, since it uses less digits than its factorization.

101039948064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104223 (or 104212 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 101039948064 in words is "one hundred one billion, thirty-nine million, nine hundred forty-eight thousand, sixty-four".