101797133760 has 336 divisors, whose sum is σ = 402857208000. Its totient is φ = 23111073792.

The previous prime is 101797133749. The next prime is 101797133773. The reversal of 101797133760 is 67331797101.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2986896 + ... + 3020784.

Almost surely, 2^101797133760 is an apocalyptic number.

101797133760 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 101797133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201428604000).

101797133760 is an abundant number, since it is smaller than the sum of its proper divisors (301060074240).

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

101797133760 is a wasteful number, since it uses less digits than its factorization.

101797133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34068 (or 34055 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The spelling of 101797133760 in words is "one hundred one billion, seven hundred ninety-seven million, one hundred thirty-three thousand, seven hundred sixty".