101427043968 has 640 divisors, whose sum is σ = 347629708800. Its totient is φ = 29143203840.

The previous prime is 101427043961. The next prime is 101427043979. The reversal of 101427043968 is 869340724101.

101427043968 is a `hidden beast` number, since 1 + 0 + 142 + 70 + 439 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (101427043961) 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 79 ways as a sum of consecutive naturals, for example, 103814296 + ... + 103815272.

It is an arithmetic number, because the mean of its divisors is an integer number (543171420).

Almost surely, 2^101427043968 is an apocalyptic number.

101427043968 is a gapful number since it is divisible by the number (18) 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 101427043968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173814854400).

101427043968 is an abundant number, since it is smaller than the sum of its proper divisors (246202664832).

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

101427043968 is a wasteful number, since it uses less digits than its factorization.

101427043968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 101427043968 in words is "one hundred one billion, four hundred twenty-seven million, forty-three thousand, nine hundred sixty-eight".