101068044880 has 80 divisors (see below), whose sum is σ = 257154683904. Its totient is φ = 36635978240.

The previous prime is 101068044863. The next prime is 101068044881. The reversal of 101068044880 is 88440860101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101068044881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97809 + ... + 460111.

Almost surely, 2^101068044880 is an apocalyptic number.

101068044880 is a gapful number since it is divisible by the number (10) 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 101068044880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128577341952).

101068044880 is an abundant number, since it is smaller than the sum of its proper divisors (156086639024).

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

101068044880 is a wasteful number, since it uses less digits than its factorization.

101068044880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362644 (or 362638 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The spelling of 101068044880 in words is "one hundred one billion, sixty-eight million, forty-four thousand, eight hundred eighty".