101068093440 has 384 divisors, whose sum is σ = 363781454400. Its totient is φ = 26945519616.

The previous prime is 101068093369. The next prime is 101068093471. The reversal of 101068093440 is 44390860101.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101068093395 and 101068093404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22392624 + ... + 22397136.

Almost surely, 2^101068093440 is an apocalyptic number.

101068093440 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 101068093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181890727200).

101068093440 is an abundant number, since it is smaller than the sum of its proper divisors (262713360960).

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

101068093440 is an frugal number, since it uses more digits than its factorization.

101068093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 101068093440 in words is "one hundred one billion, sixty-eight million, ninety-three thousand, four hundred forty".