101080905744 has 320 divisors, whose sum is σ = 344617943040. Its totient is φ = 24771502080.

The previous prime is 101080905713. The next prime is 101080905763. The reversal of 101080905744 is 447509080101.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5857609 + ... + 5874839.

It is an arithmetic number, because the mean of its divisors is an integer number (1076931072).

Almost surely, 2^101080905744 is an apocalyptic number.

101080905744 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 101080905744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172308971520).

101080905744 is an abundant number, since it is smaller than the sum of its proper divisors (243537037296).

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

101080905744 is a wasteful number, since it uses less digits than its factorization.

101080905744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17358 (or 17352 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

Adding to 101080905744 its reverse (447509080101), we get a palindrome (548589985845).

The spelling of 101080905744 in words is "one hundred one billion, eighty million, nine hundred five thousand, seven hundred forty-four".