101775471540 has 96 divisors (see below), whose sum is σ = 292760791680. Its totient is φ = 26398711296.

The previous prime is 101775471521. The next prime is 101775471547. The reversal of 101775471540 is 45174577101.

It is a junction number, because it is equal to n+sod(n) for n = 101775471492 and 101775471501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101775471547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12825414 + ... + 12833346.

It is an arithmetic number, because the mean of its divisors is an integer number (3049591580).

Almost surely, 2^101775471540 is an apocalyptic number.

101775471540 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 101775471540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146380395840).

101775471540 is an abundant number, since it is smaller than the sum of its proper divisors (190985320140).

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

101775471540 is a wasteful number, since it uses less digits than its factorization.

101775471540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13761 (or 13759 counting only the distinct ones).

The product of its (nonzero) digits is 137200, while the sum is 42.

The spelling of 101775471540 in words is "one hundred one billion, seven hundred seventy-five million, four hundred seventy-one thousand, five hundred forty".