101735581920 has 384 divisors, whose sum is σ = 373447065600. Its totient is φ = 22800476160.

The previous prime is 101735581897. The next prime is 101735581931. The reversal of 101735581920 is 29185537101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 47472369 + ... + 47474511.

It is an arithmetic number, because the mean of its divisors is an integer number (972518400).

Almost surely, 2^101735581920 is an apocalyptic number.

101735581920 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 101735581920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186723532800).

101735581920 is an abundant number, since it is smaller than the sum of its proper divisors (271711483680).

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

101735581920 is a wasteful number, since it uses less digits than its factorization.

101735581920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The spelling of 101735581920 in words is "one hundred one billion, seven hundred thirty-five million, five hundred eighty-one thousand, nine hundred twenty".